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Finding the Fourth Proportional to 527,302.96, 727,742.02 and 297,869.91

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Solution

The fourth proportional to 527,302.96, 727,742.02 and 297,869.91 is: 411,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,302.96 : 727,742.02 = 297,869.91 : x
  2. Step 2: Convert to fraction form
    527,302.96/727,742.02 = 297,869.91/x
  3. Step 3: Cross multiply
    527,302.96x = 727,742.02 × 297,869.91
  4. Step 4: Simplify right side
    527,302.96x = 216,772,451,690.66
  5. Step 5: Solve for x
    x = 216,772,451,690.66/527,302.96
  6. Step 6: Final answer
    x = 411,096.60

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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.