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Finding the Fourth Proportional to 442,915.80, 664,373.70 and 147,427.80

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Solution

The fourth proportional to 442,915.80, 664,373.70 and 147,427.80 is: 221,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,915.80 : 664,373.70 = 147,427.80 : x
  2. Step 2: Convert to fraction form
    442,915.80/664,373.70 = 147,427.80/x
  3. Step 3: Cross multiply
    442,915.80x = 664,373.70 × 147,427.80
  4. Step 4: Simplify right side
    442,915.80x = 97,947,152,968.86
  5. Step 5: Solve for x
    x = 97,947,152,968.86/442,915.80
  6. Step 6: Final answer
    x = 221,141.70

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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.