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Finding the Fourth Proportional to 536,284.60, 804,534.90 and 157,204.60

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Solution

The fourth proportional to 536,284.60, 804,534.90 and 157,204.60 is: 235,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,284.60 : 804,534.90 = 157,204.60 : x
  2. Step 2: Convert to fraction form
    536,284.60/804,534.90 = 157,204.60/x
  3. Step 3: Cross multiply
    536,284.60x = 804,534.90 × 157,204.60
  4. Step 4: Simplify right side
    536,284.60x = 126,476,587,140.54
  5. Step 5: Solve for x
    x = 126,476,587,140.54/536,284.60
  6. Step 6: Final answer
    x = 235,838.56

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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.