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Finding the Fourth Proportional to 313,689.96, 470,534.94 and 113,973.12

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Solution

The fourth proportional to 313,689.96, 470,534.94 and 113,973.12 is: 170,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,689.96 : 470,534.94 = 113,973.12 : x
  2. Step 2: Convert to fraction form
    313,689.96/470,534.94 = 113,973.12/x
  3. Step 3: Cross multiply
    313,689.96x = 470,534.94 × 113,973.12
  4. Step 4: Simplify right side
    313,689.96x = 53,628,335,180.81
  5. Step 5: Solve for x
    x = 53,628,335,180.81/313,689.96
  6. Step 6: Final answer
    x = 170,959.68

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.