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Finding the Fourth Proportional to 527,869.96, 729,062.13 and 357,808.84

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Solution

The fourth proportional to 527,869.96, 729,062.13 and 357,808.84 is: 494,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,869.96 : 729,062.13 = 357,808.84 : x
  2. Step 2: Convert to fraction form
    527,869.96/729,062.13 = 357,808.84/x
  3. Step 3: Cross multiply
    527,869.96x = 729,062.13 × 357,808.84
  4. Step 4: Simplify right side
    527,869.96x = 260,864,875,023.23
  5. Step 5: Solve for x
    x = 260,864,875,023.23/527,869.96
  6. Step 6: Final answer
    x = 494,183.97

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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.