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Finding the Fourth Proportional to 376,502.40, 564,753.60 and 314,294.40

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Solution

The fourth proportional to 376,502.40, 564,753.60 and 314,294.40 is: 471,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,502.40 : 564,753.60 = 314,294.40 : x
  2. Step 2: Convert to fraction form
    376,502.40/564,753.60 = 314,294.40/x
  3. Step 3: Cross multiply
    376,502.40x = 564,753.60 × 314,294.40
  4. Step 4: Simplify right side
    376,502.40x = 177,498,893,859.84
  5. Step 5: Solve for x
    x = 177,498,893,859.84/376,502.40
  6. Step 6: Final answer
    x = 471,441.60

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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.