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Finding the Fourth Proportional to 442,532.88, 663,915.96 and 232,114.32

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Solution

The fourth proportional to 442,532.88, 663,915.96 and 232,114.32 is: 348,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,532.88 : 663,915.96 = 232,114.32 : x
  2. Step 2: Convert to fraction form
    442,532.88/663,915.96 = 232,114.32/x
  3. Step 3: Cross multiply
    442,532.88x = 663,915.96 × 232,114.32
  4. Step 4: Simplify right side
    442,532.88x = 154,104,401,592.55
  5. Step 5: Solve for x
    x = 154,104,401,592.55/442,532.88
  6. Step 6: Final answer
    x = 348,232.66

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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.