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Finding the Fourth Proportional to 392,472.30, 588,708.45 and 313,740.30

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Solution

The fourth proportional to 392,472.30, 588,708.45 and 313,740.30 is: 470,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,472.30 : 588,708.45 = 313,740.30 : x
  2. Step 2: Convert to fraction form
    392,472.30/588,708.45 = 313,740.30/x
  3. Step 3: Cross multiply
    392,472.30x = 588,708.45 × 313,740.30
  4. Step 4: Simplify right side
    392,472.30x = 184,701,565,715.54
  5. Step 5: Solve for x
    x = 184,701,565,715.54/392,472.30
  6. Step 6: Final answer
    x = 470,610.45

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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.