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Finding the Fourth Proportional to 332,502.40, 498,818.40 and 142,962.40

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Solution

The fourth proportional to 332,502.40, 498,818.40 and 142,962.40 is: 214,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,502.40 : 498,818.40 = 142,962.40 : x
  2. Step 2: Convert to fraction form
    332,502.40/498,818.40 = 142,962.40/x
  3. Step 3: Cross multiply
    332,502.40x = 498,818.40 × 142,962.40
  4. Step 4: Simplify right side
    332,502.40x = 71,312,275,628.16
  5. Step 5: Solve for x
    x = 71,312,275,628.16/332,502.40
  6. Step 6: Final answer
    x = 214,471.46

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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.