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Finding the Fourth Proportional to 482,729.30, 724,180.35 and 202,274.90

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Solution

The fourth proportional to 482,729.30, 724,180.35 and 202,274.90 is: 303,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,729.30 : 724,180.35 = 202,274.90 : x
  2. Step 2: Convert to fraction form
    482,729.30/724,180.35 = 202,274.90/x
  3. Step 3: Cross multiply
    482,729.30x = 724,180.35 × 202,274.90
  4. Step 4: Simplify right side
    482,729.30x = 146,483,507,878.22
  5. Step 5: Solve for x
    x = 146,483,507,878.22/482,729.30
  6. Step 6: Final answer
    x = 303,448.55

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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.