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Finding the Fourth Proportional to 435,596.46, 653,419.26 and 155,113.74

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Solution

The fourth proportional to 435,596.46, 653,419.26 and 155,113.74 is: 232,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,596.46 : 653,419.26 = 155,113.74 : x
  2. Step 2: Convert to fraction form
    435,596.46/653,419.26 = 155,113.74/x
  3. Step 3: Cross multiply
    435,596.46x = 653,419.26 × 155,113.74
  4. Step 4: Simplify right side
    435,596.46x = 101,354,305,206.63
  5. Step 5: Solve for x
    x = 101,354,305,206.63/435,596.46
  6. Step 6: Final answer
    x = 232,679.36

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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.