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Finding the Fourth Proportional to 435,715.20, 653,443.20 and 169,322.40

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Solution

The fourth proportional to 435,715.20, 653,443.20 and 169,322.40 is: 253,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,715.20 : 653,443.20 = 169,322.40 : x
  2. Step 2: Convert to fraction form
    435,715.20/653,443.20 = 169,322.40/x
  3. Step 3: Cross multiply
    435,715.20x = 653,443.20 × 169,322.40
  4. Step 4: Simplify right side
    435,715.20x = 110,642,570,887.68
  5. Step 5: Solve for x
    x = 110,642,570,887.68/435,715.20
  6. Step 6: Final answer
    x = 253,933.24

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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.