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Finding the Fourth Proportional to 539,644.53, 809,393.06 and 160,623.76

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Solution

The fourth proportional to 539,644.53, 809,393.06 and 160,623.76 is: 240,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,644.53 : 809,393.06 = 160,623.76 : x
  2. Step 2: Convert to fraction form
    539,644.53/809,393.06 = 160,623.76/x
  3. Step 3: Cross multiply
    539,644.53x = 809,393.06 × 160,623.76
  4. Step 4: Simplify right side
    539,644.53x = 130,007,755,607.29
  5. Step 5: Solve for x
    x = 130,007,755,607.29/539,644.53
  6. Step 6: Final answer
    x = 240,913.69

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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.