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Finding the Fourth Proportional to 564,917.19, 847,404.95 and 144,196.71

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Solution

The fourth proportional to 564,917.19, 847,404.95 and 144,196.71 is: 216,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,917.19 : 847,404.95 = 144,196.71 : x
  2. Step 2: Convert to fraction form
    564,917.19/847,404.95 = 144,196.71/x
  3. Step 3: Cross multiply
    564,917.19x = 847,404.95 × 144,196.71
  4. Step 4: Simplify right side
    564,917.19x = 122,193,005,106.73
  5. Step 5: Solve for x
    x = 122,193,005,106.73/564,917.19
  6. Step 6: Final answer
    x = 216,302.51

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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.