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Finding the Fourth Proportional to 564,866.91, 847,299.83 and 144,142.74

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Solution

The fourth proportional to 564,866.91, 847,299.83 and 144,142.74 is: 216,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,866.91 : 847,299.83 = 144,142.74 : x
  2. Step 2: Convert to fraction form
    564,866.91/847,299.83 = 144,142.74/x
  3. Step 3: Cross multiply
    564,866.91x = 847,299.83 × 144,142.74
  4. Step 4: Simplify right side
    564,866.91x = 122,132,118,377.02
  5. Step 5: Solve for x
    x = 122,132,118,377.02/564,866.91
  6. Step 6: Final answer
    x = 216,213.97

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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.