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Finding the Fourth Proportional to 475,722.40, 656,527.26 and 314,294.26

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Solution

The fourth proportional to 475,722.40, 656,527.26 and 314,294.26 is: 433,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,722.40 : 656,527.26 = 314,294.26 : x
  2. Step 2: Convert to fraction form
    475,722.40/656,527.26 = 314,294.26/x
  3. Step 3: Cross multiply
    475,722.40x = 656,527.26 × 314,294.26
  4. Step 4: Simplify right side
    475,722.40x = 206,342,749,351.53
  5. Step 5: Solve for x
    x = 206,342,749,351.53/475,722.40
  6. Step 6: Final answer
    x = 433,746.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.