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Finding the Fourth Proportional to 462,641.94, 694,032.03 and 147,109.14

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Solution

The fourth proportional to 462,641.94, 694,032.03 and 147,109.14 is: 220,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,641.94 : 694,032.03 = 147,109.14 : x
  2. Step 2: Convert to fraction form
    462,641.94/694,032.03 = 147,109.14/x
  3. Step 3: Cross multiply
    462,641.94x = 694,032.03 × 147,109.14
  4. Step 4: Simplify right side
    462,641.94x = 102,098,455,065.75
  5. Step 5: Solve for x
    x = 102,098,455,065.75/462,641.94
  6. Step 6: Final answer
    x = 220,685.69

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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.