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Finding the Fourth Proportional to 475,734.90, 656,544.51 and 314,306.76

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Solution

The fourth proportional to 475,734.90, 656,544.51 and 314,306.76 is: 433,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,734.90 : 656,544.51 = 314,306.76 : x
  2. Step 2: Convert to fraction form
    475,734.90/656,544.51 = 314,306.76/x
  3. Step 3: Cross multiply
    475,734.90x = 656,544.51 × 314,306.76
  4. Step 4: Simplify right side
    475,734.90x = 206,356,377,733.89
  5. Step 5: Solve for x
    x = 206,356,377,733.89/475,734.90
  6. Step 6: Final answer
    x = 433,763.38

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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.