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Finding the Fourth Proportional to 482,729.80, 724,181.10 and 202,275.40

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Solution

The fourth proportional to 482,729.80, 724,181.10 and 202,275.40 is: 303,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,729.80 : 724,181.10 = 202,275.40 : x
  2. Step 2: Convert to fraction form
    482,729.80/724,181.10 = 202,275.40/x
  3. Step 3: Cross multiply
    482,729.80x = 724,181.10 × 202,275.40
  4. Step 4: Simplify right side
    482,729.80x = 146,484,021,674.94
  5. Step 5: Solve for x
    x = 146,484,021,674.94/482,729.80
  6. Step 6: Final answer
    x = 303,449.30

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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.