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Finding the Fourth Proportional to 313,801.28, 470,554.08 and 113,980.76

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Solution

The fourth proportional to 313,801.28, 470,554.08 and 113,980.76 is: 170,917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,801.28 : 470,554.08 = 113,980.76 : x
  2. Step 2: Convert to fraction form
    313,801.28/470,554.08 = 113,980.76/x
  3. Step 3: Cross multiply
    313,801.28x = 470,554.08 × 113,980.76
  4. Step 4: Simplify right side
    313,801.28x = 53,634,111,659.50
  5. Step 5: Solve for x
    x = 53,634,111,659.50/313,801.28
  6. Step 6: Final answer
    x = 170,917.44

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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.