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Finding the Fourth Proportional to 678,452.49, 935,964.72 and 420,261.35

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Solution

The fourth proportional to 678,452.49, 935,964.72 and 420,261.35 is: 579,775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,452.49 : 935,964.72 = 420,261.35 : x
  2. Step 2: Convert to fraction form
    678,452.49/935,964.72 = 420,261.35/x
  3. Step 3: Cross multiply
    678,452.49x = 935,964.72 × 420,261.35
  4. Step 4: Simplify right side
    678,452.49x = 393,349,792,099.75
  5. Step 5: Solve for x
    x = 393,349,792,099.75/678,452.49
  6. Step 6: Final answer
    x = 579,775.00

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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.