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Finding the Fourth Proportional to 527,358.30, 727,799.22 and 297,957.66

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Solution

The fourth proportional to 527,358.30, 727,799.22 and 297,957.66 is: 411,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,358.30 : 727,799.22 = 297,957.66 : x
  2. Step 2: Convert to fraction form
    527,358.30/727,799.22 = 297,957.66/x
  3. Step 3: Cross multiply
    527,358.30x = 727,799.22 × 297,957.66
  4. Step 4: Simplify right side
    527,358.30x = 216,853,352,541.03
  5. Step 5: Solve for x
    x = 216,853,352,541.03/527,358.30
  6. Step 6: Final answer
    x = 411,206.86

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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.