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Finding the Fourth Proportional to 442,601.40, 663,902.10 and 147,113.40

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Solution

The fourth proportional to 442,601.40, 663,902.10 and 147,113.40 is: 220,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,601.40 : 663,902.10 = 147,113.40 : x
  2. Step 2: Convert to fraction form
    442,601.40/663,902.10 = 147,113.40/x
  3. Step 3: Cross multiply
    442,601.40x = 663,902.10 × 147,113.40
  4. Step 4: Simplify right side
    442,601.40x = 97,668,895,198.14
  5. Step 5: Solve for x
    x = 97,668,895,198.14/442,601.40
  6. Step 6: Final answer
    x = 220,670.10

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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.