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Finding the Fourth Proportional to 402,542.96, 604,086.60 and 153,218.48

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Solution

The fourth proportional to 402,542.96, 604,086.60 and 153,218.48 is: 229,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,542.96 : 604,086.60 = 153,218.48 : x
  2. Step 2: Convert to fraction form
    402,542.96/604,086.60 = 153,218.48/x
  3. Step 3: Cross multiply
    402,542.96x = 604,086.60 × 153,218.48
  4. Step 4: Simplify right side
    402,542.96x = 92,557,230,640.37
  5. Step 5: Solve for x
    x = 92,557,230,640.37/402,542.96
  6. Step 6: Final answer
    x = 229,931.31

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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.