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Finding the Fourth Proportional to 435,594.24, 653,084.16 and 169,132.80

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Solution

The fourth proportional to 435,594.24, 653,084.16 and 169,132.80 is: 253,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,594.24 : 653,084.16 = 169,132.80 : x
  2. Step 2: Convert to fraction form
    435,594.24/653,084.16 = 169,132.80/x
  3. Step 3: Cross multiply
    435,594.24x = 653,084.16 × 169,132.80
  4. Step 4: Simplify right side
    435,594.24x = 110,457,952,616.45
  5. Step 5: Solve for x
    x = 110,457,952,616.45/435,594.24
  6. Step 6: Final answer
    x = 253,579.92

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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.