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Finding the Fourth Proportional to 410,730.20, 616,153.62 and 126,444.41

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Solution

The fourth proportional to 410,730.20, 616,153.62 and 126,444.41 is: 189,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,730.20 : 616,153.62 = 126,444.41 : x
  2. Step 2: Convert to fraction form
    410,730.20/616,153.62 = 126,444.41/x
  3. Step 3: Cross multiply
    410,730.20x = 616,153.62 × 126,444.41
  4. Step 4: Simplify right side
    410,730.20x = 77,909,180,950.26
  5. Step 5: Solve for x
    x = 77,909,180,950.26/410,730.20
  6. Step 6: Final answer
    x = 189,684.57

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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.