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Finding the Fourth Proportional to 482,807.30, 724,297.35 and 202,352.90

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Solution

The fourth proportional to 482,807.30, 724,297.35 and 202,352.90 is: 303,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,807.30 : 724,297.35 = 202,352.90 : x
  2. Step 2: Convert to fraction form
    482,807.30/724,297.35 = 202,352.90/x
  3. Step 3: Cross multiply
    482,807.30x = 724,297.35 × 202,352.90
  4. Step 4: Simplify right side
    482,807.30x = 146,563,669,234.82
  5. Step 5: Solve for x
    x = 146,563,669,234.82/482,807.30
  6. Step 6: Final answer
    x = 303,565.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.