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Finding the Fourth Proportional to 482,823.40, 724,235.10 and 202,311.40

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Solution

The fourth proportional to 482,823.40, 724,235.10 and 202,311.40 is: 303,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,823.40 : 724,235.10 = 202,311.40 : x
  2. Step 2: Convert to fraction form
    482,823.40/724,235.10 = 202,311.40/x
  3. Step 3: Cross multiply
    482,823.40x = 724,235.10 × 202,311.40
  4. Step 4: Simplify right side
    482,823.40x = 146,521,017,010.14
  5. Step 5: Solve for x
    x = 146,521,017,010.14/482,823.40
  6. Step 6: Final answer
    x = 303,467.10

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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.