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Finding the Fourth Proportional to 411,218.74, 615,122.25 and 386,024.50

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Solution

The fourth proportional to 411,218.74, 615,122.25 and 386,024.50 is: 577,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,218.74 : 615,122.25 = 386,024.50 : x
  2. Step 2: Convert to fraction form
    411,218.74/615,122.25 = 386,024.50/x
  3. Step 3: Cross multiply
    411,218.74x = 615,122.25 × 386,024.50
  4. Step 4: Simplify right side
    411,218.74x = 237,452,258,995.13
  5. Step 5: Solve for x
    x = 237,452,258,995.13/411,218.74
  6. Step 6: Final answer
    x = 577,435.40

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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.