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Finding the Fourth Proportional to 399,644.28, 599,702.88 and 147,102.12

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Solution

The fourth proportional to 399,644.28, 599,702.88 and 147,102.12 is: 220,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,644.28 : 599,702.88 = 147,102.12 : x
  2. Step 2: Convert to fraction form
    399,644.28/599,702.88 = 147,102.12/x
  3. Step 3: Cross multiply
    399,644.28x = 599,702.88 × 147,102.12
  4. Step 4: Simplify right side
    399,644.28x = 88,217,565,018.11
  5. Step 5: Solve for x
    x = 88,217,565,018.11/399,644.28
  6. Step 6: Final answer
    x = 220,740.22

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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.