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Finding the Fourth Proportional to 527,618.16, 727,711.38 and 454,155.66

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Solution

The fourth proportional to 527,618.16, 727,711.38 and 454,155.66 is: 626,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,618.16 : 727,711.38 = 454,155.66 : x
  2. Step 2: Convert to fraction form
    527,618.16/727,711.38 = 454,155.66/x
  3. Step 3: Cross multiply
    527,618.16x = 727,711.38 × 454,155.66
  4. Step 4: Simplify right side
    527,618.16x = 330,494,242,073.41
  5. Step 5: Solve for x
    x = 330,494,242,073.41/527,618.16
  6. Step 6: Final answer
    x = 626,389.06

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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.