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Finding the Fourth Proportional to 476,184.52, 714,233.03 and 160,644.16

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Solution

The fourth proportional to 476,184.52, 714,233.03 and 160,644.16 is: 240,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,184.52 : 714,233.03 = 160,644.16 : x
  2. Step 2: Convert to fraction form
    476,184.52/714,233.03 = 160,644.16/x
  3. Step 3: Cross multiply
    476,184.52x = 714,233.03 × 160,644.16
  4. Step 4: Simplify right side
    476,184.52x = 114,737,361,577.44
  5. Step 5: Solve for x
    x = 114,737,361,577.44/476,184.52
  6. Step 6: Final answer
    x = 240,951.48

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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.