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Finding the Fourth Proportional to 435,796.40, 653,732.28 and 120,253.32

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Solution

The fourth proportional to 435,796.40, 653,732.28 and 120,253.32 is: 180,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,796.40 : 653,732.28 = 120,253.32 : x
  2. Step 2: Convert to fraction form
    435,796.40/653,732.28 = 120,253.32/x
  3. Step 3: Cross multiply
    435,796.40x = 653,732.28 × 120,253.32
  4. Step 4: Simplify right side
    435,796.40x = 78,613,477,061.17
  5. Step 5: Solve for x
    x = 78,613,477,061.17/435,796.40
  6. Step 6: Final answer
    x = 180,390.38

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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.