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Finding the Fourth Proportional to 347,807.60, 521,711.40 and 310,409.90

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Solution

The fourth proportional to 347,807.60, 521,711.40 and 310,409.90 is: 465,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,807.60 : 521,711.40 = 310,409.90 : x
  2. Step 2: Convert to fraction form
    347,807.60/521,711.40 = 310,409.90/x
  3. Step 3: Cross multiply
    347,807.60x = 521,711.40 × 310,409.90
  4. Step 4: Simplify right side
    347,807.60x = 161,944,383,502.86
  5. Step 5: Solve for x
    x = 161,944,383,502.86/347,807.60
  6. Step 6: Final answer
    x = 465,614.85

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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.