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Finding the Fourth Proportional to 564,883.47, 847,324.50 and 144,159.36

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Solution

The fourth proportional to 564,883.47, 847,324.50 and 144,159.36 is: 216,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,883.47 : 847,324.50 = 144,159.36 : x
  2. Step 2: Convert to fraction form
    564,883.47/847,324.50 = 144,159.36/x
  3. Step 3: Cross multiply
    564,883.47x = 847,324.50 × 144,159.36
  4. Step 4: Simplify right side
    564,883.47x = 122,149,757,632.32
  5. Step 5: Solve for x
    x = 122,149,757,632.32/564,883.47
  6. Step 6: Final answer
    x = 216,238.86

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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.