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Finding the Fourth Proportional to 482,705.90, 724,058.85 and 202,193.90

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Solution

The fourth proportional to 482,705.90, 724,058.85 and 202,193.90 is: 303,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,705.90 : 724,058.85 = 202,193.90 : x
  2. Step 2: Convert to fraction form
    482,705.90/724,058.85 = 202,193.90/x
  3. Step 3: Cross multiply
    482,705.90x = 724,058.85 × 202,193.90
  4. Step 4: Simplify right side
    482,705.90x = 146,400,282,711.02
  5. Step 5: Solve for x
    x = 146,400,282,711.02/482,705.90
  6. Step 6: Final answer
    x = 303,290.85

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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.