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Finding the Fourth Proportional to 435,711.40, 653,081.10 and 169,383.40

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Solution

The fourth proportional to 435,711.40, 653,081.10 and 169,383.40 is: 253,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,711.40 : 653,081.10 = 169,383.40 : x
  2. Step 2: Convert to fraction form
    435,711.40/653,081.10 = 169,383.40/x
  3. Step 3: Cross multiply
    435,711.40x = 653,081.10 × 169,383.40
  4. Step 4: Simplify right side
    435,711.40x = 110,621,097,193.74
  5. Step 5: Solve for x
    x = 110,621,097,193.74/435,711.40
  6. Step 6: Final answer
    x = 253,886.17

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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.