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Finding the Fourth Proportional to 411,219.74, 615,123.75 and 386,025.50

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Solution

The fourth proportional to 411,219.74, 615,123.75 and 386,025.50 is: 577,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,219.74 : 615,123.75 = 386,025.50 : x
  2. Step 2: Convert to fraction form
    411,219.74/615,123.75 = 386,025.50/x
  3. Step 3: Cross multiply
    411,219.74x = 615,123.75 × 386,025.50
  4. Step 4: Simplify right side
    411,219.74x = 237,453,453,155.63
  5. Step 5: Solve for x
    x = 237,453,453,155.63/411,219.74
  6. Step 6: Final answer
    x = 577,436.90

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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.