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Finding the Fourth Proportional to 296,558.40, 444,837.60 and 282,780.30

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Solution

The fourth proportional to 296,558.40, 444,837.60 and 282,780.30 is: 424,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,558.40 : 444,837.60 = 282,780.30 : x
  2. Step 2: Convert to fraction form
    296,558.40/444,837.60 = 282,780.30/x
  3. Step 3: Cross multiply
    296,558.40x = 444,837.60 × 282,780.30
  4. Step 4: Simplify right side
    296,558.40x = 125,791,309,979.28
  5. Step 5: Solve for x
    x = 125,791,309,979.28/296,558.40
  6. Step 6: Final answer
    x = 424,170.45

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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.