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Finding the Fourth Proportional to 524,912.66, 724,402.44 and 295,484.78

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Solution

The fourth proportional to 524,912.66, 724,402.44 and 295,484.78 is: 407,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,912.66 : 724,402.44 = 295,484.78 : x
  2. Step 2: Convert to fraction form
    524,912.66/724,402.44 = 295,484.78/x
  3. Step 3: Cross multiply
    524,912.66x = 724,402.44 × 295,484.78
  4. Step 4: Simplify right side
    524,912.66x = 214,049,895,614.86
  5. Step 5: Solve for x
    x = 214,049,895,614.86/524,912.66
  6. Step 6: Final answer
    x = 407,781.93

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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.