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Finding the Fourth Proportional to 458,013.10, 632,068.22 and 254,057.39

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Solution

The fourth proportional to 458,013.10, 632,068.22 and 254,057.39 is: 350,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,013.10 : 632,068.22 = 254,057.39 : x
  2. Step 2: Convert to fraction form
    458,013.10/632,068.22 = 254,057.39/x
  3. Step 3: Cross multiply
    458,013.10x = 632,068.22 × 254,057.39
  4. Step 4: Simplify right side
    458,013.10x = 160,581,604,490.46
  5. Step 5: Solve for x
    x = 160,581,604,490.46/458,013.10
  6. Step 6: Final answer
    x = 350,604.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.