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Finding the Fourth Proportional to 578,193.40, 867,290.10 and 157,468.60

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Solution

The fourth proportional to 578,193.40, 867,290.10 and 157,468.60 is: 236,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,193.40 : 867,290.10 = 157,468.60 : x
  2. Step 2: Convert to fraction form
    578,193.40/867,290.10 = 157,468.60/x
  3. Step 3: Cross multiply
    578,193.40x = 867,290.10 × 157,468.60
  4. Step 4: Simplify right side
    578,193.40x = 136,570,957,840.86
  5. Step 5: Solve for x
    x = 136,570,957,840.86/578,193.40
  6. Step 6: Final answer
    x = 236,202.90

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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.