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Finding the Fourth Proportional to 496,502.40, 744,782.40 and 141,542.40

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Solution

The fourth proportional to 496,502.40, 744,782.40 and 141,542.40 is: 212,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,502.40 : 744,782.40 = 141,542.40 : x
  2. Step 2: Convert to fraction form
    496,502.40/744,782.40 = 141,542.40/x
  3. Step 3: Cross multiply
    496,502.40x = 744,782.40 × 141,542.40
  4. Step 4: Simplify right side
    496,502.40x = 105,418,288,373.76
  5. Step 5: Solve for x
    x = 105,418,288,373.76/496,502.40
  6. Step 6: Final answer
    x = 212,321.81

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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.