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Finding the Fourth Proportional to 402,164.74, 603,321.27 and 132,308.07

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Solution

The fourth proportional to 402,164.74, 603,321.27 and 132,308.07 is: 198,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,164.74 : 603,321.27 = 132,308.07 : x
  2. Step 2: Convert to fraction form
    402,164.74/603,321.27 = 132,308.07/x
  3. Step 3: Cross multiply
    402,164.74x = 603,321.27 × 132,308.07
  4. Step 4: Simplify right side
    402,164.74x = 79,824,272,823.65
  5. Step 5: Solve for x
    x = 79,824,272,823.65/402,164.74
  6. Step 6: Final answer
    x = 198,486.50

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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.