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Finding the Fourth Proportional to 522,463.13, 783,704.42 and 148,495.85

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Solution

The fourth proportional to 522,463.13, 783,704.42 and 148,495.85 is: 222,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,463.13 : 783,704.42 = 148,495.85 : x
  2. Step 2: Convert to fraction form
    522,463.13/783,704.42 = 148,495.85/x
  3. Step 3: Cross multiply
    522,463.13x = 783,704.42 × 148,495.85
  4. Step 4: Simplify right side
    522,463.13x = 116,376,849,335.66
  5. Step 5: Solve for x
    x = 116,376,849,335.66/522,463.13
  6. Step 6: Final answer
    x = 222,746.53

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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.