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Finding the Fourth Proportional to 283,344.40, 424,627.80 and 230,856.40

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Solution

The fourth proportional to 283,344.40, 424,627.80 and 230,856.40 is: 345,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,344.40 : 424,627.80 = 230,856.40 : x
  2. Step 2: Convert to fraction form
    283,344.40/424,627.80 = 230,856.40/x
  3. Step 3: Cross multiply
    283,344.40x = 424,627.80 × 230,856.40
  4. Step 4: Simplify right side
    283,344.40x = 98,028,045,247.92
  5. Step 5: Solve for x
    x = 98,028,045,247.92/283,344.40
  6. Step 6: Final answer
    x = 345,967.82

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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.