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Finding the Fourth Proportional to 536,223.60, 804,443.40 and 157,143.60

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Solution

The fourth proportional to 536,223.60, 804,443.40 and 157,143.60 is: 235,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,223.60 : 804,443.40 = 157,143.60 : x
  2. Step 2: Convert to fraction form
    536,223.60/804,443.40 = 157,143.60/x
  3. Step 3: Cross multiply
    536,223.60x = 804,443.40 × 157,143.60
  4. Step 4: Simplify right side
    536,223.60x = 126,413,131,872.24
  5. Step 5: Solve for x
    x = 126,413,131,872.24/536,223.60
  6. Step 6: Final answer
    x = 235,747.05

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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.