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Finding the Fourth Proportional to 454,705.40, 682,058.10 and 402,217.40

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Solution

The fourth proportional to 454,705.40, 682,058.10 and 402,217.40 is: 603,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,705.40 : 682,058.10 = 402,217.40 : x
  2. Step 2: Convert to fraction form
    454,705.40/682,058.10 = 402,217.40/x
  3. Step 3: Cross multiply
    454,705.40x = 682,058.10 × 402,217.40
  4. Step 4: Simplify right side
    454,705.40x = 274,335,635,630.94
  5. Step 5: Solve for x
    x = 274,335,635,630.94/454,705.40
  6. Step 6: Final answer
    x = 603,326.10

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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.