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Finding the Fourth Proportional to 320,024.20, 480,036.30 and 202,217.80

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Solution

The fourth proportional to 320,024.20, 480,036.30 and 202,217.80 is: 303,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,024.20 : 480,036.30 = 202,217.80 : x
  2. Step 2: Convert to fraction form
    320,024.20/480,036.30 = 202,217.80/x
  3. Step 3: Cross multiply
    320,024.20x = 480,036.30 × 202,217.80
  4. Step 4: Simplify right side
    320,024.20x = 97,071,884,506.14
  5. Step 5: Solve for x
    x = 97,071,884,506.14/320,024.20
  6. Step 6: Final answer
    x = 303,326.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.