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Finding the Fourth Proportional to 536,294.60, 804,549.90 and 157,214.60

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Solution

The fourth proportional to 536,294.60, 804,549.90 and 157,214.60 is: 235,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,294.60 : 804,549.90 = 157,214.60 : x
  2. Step 2: Convert to fraction form
    536,294.60/804,549.90 = 157,214.60/x
  3. Step 3: Cross multiply
    536,294.60x = 804,549.90 × 157,214.60
  4. Step 4: Simplify right side
    536,294.60x = 126,486,990,708.54
  5. Step 5: Solve for x
    x = 126,486,990,708.54/536,294.60
  6. Step 6: Final answer
    x = 235,853.56

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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.