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Finding the Fourth Proportional to 564,883.98, 847,325.24 and 144,159.86

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Solution

The fourth proportional to 564,883.98, 847,325.24 and 144,159.86 is: 216,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,883.98 : 847,325.24 = 144,159.86 : x
  2. Step 2: Convert to fraction form
    564,883.98/847,325.24 = 144,159.86/x
  3. Step 3: Cross multiply
    564,883.98x = 847,325.24 × 144,159.86
  4. Step 4: Simplify right side
    564,883.98x = 122,150,287,972.87
  5. Step 5: Solve for x
    x = 122,150,287,972.87/564,883.98
  6. Step 6: Final answer
    x = 216,239.60

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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.