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Finding the Fourth Proportional to 313,425.66, 470,028.26 and 113,712.06

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Solution

The fourth proportional to 313,425.66, 470,028.26 and 113,712.06 is: 170,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,425.66 : 470,028.26 = 113,712.06 : x
  2. Step 2: Convert to fraction form
    313,425.66/470,028.26 = 113,712.06/x
  3. Step 3: Cross multiply
    313,425.66x = 470,028.26 × 113,712.06
  4. Step 4: Simplify right side
    313,425.66x = 53,447,881,702.82
  5. Step 5: Solve for x
    x = 53,447,881,702.82/313,425.66
  6. Step 6: Final answer
    x = 170,528.10

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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.