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Finding the Fourth Proportional to 499,285.76, 748,773.12 and 166,784

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Solution

The fourth proportional to 499,285.76, 748,773.12 and 166,784 is: 250,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,285.76 : 748,773.12 = 166,784 : x
  2. Step 2: Convert to fraction form
    499,285.76/748,773.12 = 166,784/x
  3. Step 3: Cross multiply
    499,285.76x = 748,773.12 × 166,784
  4. Step 4: Simplify right side
    499,285.76x = 124,883,376,046.08
  5. Step 5: Solve for x
    x = 124,883,376,046.08/499,285.76
  6. Step 6: Final answer
    x = 250,124.05

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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.