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Finding the Fourth Proportional to 482,441.40, 724,007.70 and 202,159.80

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Solution

The fourth proportional to 482,441.40, 724,007.70 and 202,159.80 is: 303,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,441.40 : 724,007.70 = 202,159.80 : x
  2. Step 2: Convert to fraction form
    482,441.40/724,007.70 = 202,159.80/x
  3. Step 3: Cross multiply
    482,441.40x = 724,007.70 × 202,159.80
  4. Step 4: Simplify right side
    482,441.40x = 146,365,251,830.46
  5. Step 5: Solve for x
    x = 146,365,251,830.46/482,441.40
  6. Step 6: Final answer
    x = 303,384.52

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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.