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Finding the Fourth Proportional to 702,577.32, 969,738.36 and 458,171.28

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Solution

The fourth proportional to 702,577.32, 969,738.36 and 458,171.28 is: 632,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,577.32 : 969,738.36 = 458,171.28 : x
  2. Step 2: Convert to fraction form
    702,577.32/969,738.36 = 458,171.28/x
  3. Step 3: Cross multiply
    702,577.32x = 969,738.36 × 458,171.28
  4. Step 4: Simplify right side
    702,577.32x = 444,306,265,666.30
  5. Step 5: Solve for x
    x = 444,306,265,666.30/702,577.32
  6. Step 6: Final answer
    x = 632,394.83

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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.