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Finding the Fourth Proportional to 475,718.27, 656,521.61 and 314,290.53

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Solution

The fourth proportional to 475,718.27, 656,521.61 and 314,290.53 is: 433,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,718.27 : 656,521.61 = 314,290.53 : x
  2. Step 2: Convert to fraction form
    475,718.27/656,521.61 = 314,290.53/x
  3. Step 3: Cross multiply
    475,718.27x = 656,521.61 × 314,290.53
  4. Step 4: Simplify right side
    475,718.27x = 206,338,523,191.90
  5. Step 5: Solve for x
    x = 206,338,523,191.90/475,718.27
  6. Step 6: Final answer
    x = 433,741.02

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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.