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Finding the Fourth Proportional to 415,920.20, 623,880.30 and 149,689.40

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Solution

The fourth proportional to 415,920.20, 623,880.30 and 149,689.40 is: 224,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,920.20 : 623,880.30 = 149,689.40 : x
  2. Step 2: Convert to fraction form
    415,920.20/623,880.30 = 149,689.40/x
  3. Step 3: Cross multiply
    415,920.20x = 623,880.30 × 149,689.40
  4. Step 4: Simplify right side
    415,920.20x = 93,388,267,778.82
  5. Step 5: Solve for x
    x = 93,388,267,778.82/415,920.20
  6. Step 6: Final answer
    x = 224,534.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.