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Finding the Fourth Proportional to 285,499.20, 428,248.80 and 268,003.20

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Solution

The fourth proportional to 285,499.20, 428,248.80 and 268,003.20 is: 402,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,499.20 : 428,248.80 = 268,003.20 : x
  2. Step 2: Convert to fraction form
    285,499.20/428,248.80 = 268,003.20/x
  3. Step 3: Cross multiply
    285,499.20x = 428,248.80 × 268,003.20
  4. Step 4: Simplify right side
    285,499.20x = 114,772,048,796.16
  5. Step 5: Solve for x
    x = 114,772,048,796.16/285,499.20
  6. Step 6: Final answer
    x = 402,004.80

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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.