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Finding the Fourth Proportional to 411,459.28, 567,787 and 230,139.76

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Solution

The fourth proportional to 411,459.28, 567,787 and 230,139.76 is: 317,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,459.28 : 567,787 = 230,139.76 : x
  2. Step 2: Convert to fraction form
    411,459.28/567,787 = 230,139.76/x
  3. Step 3: Cross multiply
    411,459.28x = 567,787 × 230,139.76
  4. Step 4: Simplify right side
    411,459.28x = 130,670,363,911.12
  5. Step 5: Solve for x
    x = 130,670,363,911.12/411,459.28
  6. Step 6: Final answer
    x = 317,577.88

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