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Finding the Fourth Proportional to 521,719.20, 780,829.20 and 458,733.60

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Solution

The fourth proportional to 521,719.20, 780,829.20 and 458,733.60 is: 686,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,719.20 : 780,829.20 = 458,733.60 : x
  2. Step 2: Convert to fraction form
    521,719.20/780,829.20 = 458,733.60/x
  3. Step 3: Cross multiply
    521,719.20x = 780,829.20 × 458,733.60
  4. Step 4: Simplify right side
    521,719.20x = 358,192,589,901.12
  5. Step 5: Solve for x
    x = 358,192,589,901.12/521,719.20
  6. Step 6: Final answer
    x = 686,562.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.