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Finding the Fourth Proportional to 433,060, 649,513.28 and 117,541.44

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Solution

The fourth proportional to 433,060, 649,513.28 and 117,541.44 is: 176,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,060 : 649,513.28 = 117,541.44 : x
  2. Step 2: Convert to fraction form
    433,060/649,513.28 = 117,541.44/x
  3. Step 3: Cross multiply
    433,060x = 649,513.28 × 117,541.44
  4. Step 4: Simplify right side
    433,060x = 76,344,726,230.32
  5. Step 5: Solve for x
    x = 76,344,726,230.32/433,060
  6. Step 6: Final answer
    x = 176,291.34

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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.