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Finding the Fourth Proportional to 435,711.57, 653,287.64 and 169,188.09

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Solution

The fourth proportional to 435,711.57, 653,287.64 and 169,188.09 is: 253,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,711.57 : 653,287.64 = 169,188.09 : x
  2. Step 2: Convert to fraction form
    435,711.57/653,287.64 = 169,188.09/x
  3. Step 3: Cross multiply
    435,711.57x = 653,287.64 × 169,188.09
  4. Step 4: Simplify right side
    435,711.57x = 110,528,487,186.27
  5. Step 5: Solve for x
    x = 110,528,487,186.27/435,711.57
  6. Step 6: Final answer
    x = 253,673.52

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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.