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Finding the Fourth Proportional to 482,803.80, 724,292.10 and 202,349.40

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Solution

The fourth proportional to 482,803.80, 724,292.10 and 202,349.40 is: 303,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,803.80 : 724,292.10 = 202,349.40 : x
  2. Step 2: Convert to fraction form
    482,803.80/724,292.10 = 202,349.40/x
  3. Step 3: Cross multiply
    482,803.80x = 724,292.10 × 202,349.40
  4. Step 4: Simplify right side
    482,803.80x = 146,560,071,859.74
  5. Step 5: Solve for x
    x = 146,560,071,859.74/482,803.80
  6. Step 6: Final answer
    x = 303,560.31

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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.