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Finding the Fourth Proportional to 419,037.13, 577,869.24 and 281,526.76

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Solution

The fourth proportional to 419,037.13, 577,869.24 and 281,526.76 is: 388,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,037.13 : 577,869.24 = 281,526.76 : x
  2. Step 2: Convert to fraction form
    419,037.13/577,869.24 = 281,526.76/x
  3. Step 3: Cross multiply
    419,037.13x = 577,869.24 × 281,526.76
  4. Step 4: Simplify right side
    419,037.13x = 162,685,654,840.86
  5. Step 5: Solve for x
    x = 162,685,654,840.86/419,037.13
  6. Step 6: Final answer
    x = 388,236.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.