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Finding the Fourth Proportional to 971,727.72, 1,457,591.58 and 498,111

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Solution

The fourth proportional to 971,727.72, 1,457,591.58 and 498,111 is: 747,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,727.72 : 1,457,591.58 = 498,111 : x
  2. Step 2: Convert to fraction form
    971,727.72/1,457,591.58 = 498,111/x
  3. Step 3: Cross multiply
    971,727.72x = 1,457,591.58 × 498,111
  4. Step 4: Simplify right side
    971,727.72x = 726,042,399,505.38
  5. Step 5: Solve for x
    x = 726,042,399,505.38/971,727.72
  6. Step 6: Final answer
    x = 747,166.50

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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.