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Finding the Fourth Proportional to 665,680.48, 918,591.20 and 411,036

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Solution

The fourth proportional to 665,680.48, 918,591.20 and 411,036 is: 567,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,680.48 : 918,591.20 = 411,036 : x
  2. Step 2: Convert to fraction form
    665,680.48/918,591.20 = 411,036/x
  3. Step 3: Cross multiply
    665,680.48x = 918,591.20 × 411,036
  4. Step 4: Simplify right side
    665,680.48x = 377,574,052,483.20
  5. Step 5: Solve for x
    x = 377,574,052,483.20/665,680.48
  6. Step 6: Final answer
    x = 567,200.13

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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.