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Finding the Fourth Proportional to 499,038.77, 748,772.64 and 162,182.68

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Solution

The fourth proportional to 499,038.77, 748,772.64 and 162,182.68 is: 243,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,038.77 : 748,772.64 = 162,182.68 : x
  2. Step 2: Convert to fraction form
    499,038.77/748,772.64 = 162,182.68/x
  3. Step 3: Cross multiply
    499,038.77x = 748,772.64 × 162,182.68
  4. Step 4: Simplify right side
    499,038.77x = 121,437,951,593.94
  5. Step 5: Solve for x
    x = 121,437,951,593.94/499,038.77
  6. Step 6: Final answer
    x = 243,343.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.