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Finding the Fourth Proportional to 482,642.40, 724,309.20 and 202,360.80

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Solution

The fourth proportional to 482,642.40, 724,309.20 and 202,360.80 is: 303,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,642.40 : 724,309.20 = 202,360.80 : x
  2. Step 2: Convert to fraction form
    482,642.40/724,309.20 = 202,360.80/x
  3. Step 3: Cross multiply
    482,642.40x = 724,309.20 × 202,360.80
  4. Step 4: Simplify right side
    482,642.40x = 146,571,789,159.36
  5. Step 5: Solve for x
    x = 146,571,789,159.36/482,642.40
  6. Step 6: Final answer
    x = 303,686.10

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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.