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Finding the Fourth Proportional to 435,734.40, 653,115.60 and 169,406.40

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Solution

The fourth proportional to 435,734.40, 653,115.60 and 169,406.40 is: 253,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,734.40 : 653,115.60 = 169,406.40 : x
  2. Step 2: Convert to fraction form
    435,734.40/653,115.60 = 169,406.40/x
  3. Step 3: Cross multiply
    435,734.40x = 653,115.60 × 169,406.40
  4. Step 4: Simplify right side
    435,734.40x = 110,641,962,579.84
  5. Step 5: Solve for x
    x = 110,641,962,579.84/435,734.40
  6. Step 6: Final answer
    x = 253,920.65

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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.