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Finding the Fourth Proportional to 410,031.92, 614,511.14 and 220,270.49

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Solution

The fourth proportional to 410,031.92, 614,511.14 and 220,270.49 is: 330,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,031.92 : 614,511.14 = 220,270.49 : x
  2. Step 2: Convert to fraction form
    410,031.92/614,511.14 = 220,270.49/x
  3. Step 3: Cross multiply
    410,031.92x = 614,511.14 × 220,270.49
  4. Step 4: Simplify right side
    410,031.92x = 135,358,670,353.18
  5. Step 5: Solve for x
    x = 135,358,670,353.18/410,031.92
  6. Step 6: Final answer
    x = 330,117.40

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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.