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Finding the Fourth Proportional to 474,158.80, 710,892.60 and 193,531.60

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Solution

The fourth proportional to 474,158.80, 710,892.60 and 193,531.60 is: 290,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,158.80 : 710,892.60 = 193,531.60 : x
  2. Step 2: Convert to fraction form
    474,158.80/710,892.60 = 193,531.60/x
  3. Step 3: Cross multiply
    474,158.80x = 710,892.60 × 193,531.60
  4. Step 4: Simplify right side
    474,158.80x = 137,580,182,306.16
  5. Step 5: Solve for x
    x = 137,580,182,306.16/474,158.80
  6. Step 6: Final answer
    x = 290,156.34

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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.