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Finding the Fourth Proportional to 564,893.50, 847,339.47 and 144,169.36

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Solution

The fourth proportional to 564,893.50, 847,339.47 and 144,169.36 is: 216,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,893.50 : 847,339.47 = 144,169.36 : x
  2. Step 2: Convert to fraction form
    564,893.50/847,339.47 = 144,169.36/x
  3. Step 3: Cross multiply
    564,893.50x = 847,339.47 × 144,169.36
  4. Step 4: Simplify right side
    564,893.50x = 122,160,389,092.64
  5. Step 5: Solve for x
    x = 122,160,389,092.64/564,893.50
  6. Step 6: Final answer
    x = 216,253.84

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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.