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Finding the Fourth Proportional to 410,714.40, 616,163.40 and 144,483.60

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Solution

The fourth proportional to 410,714.40, 616,163.40 and 144,483.60 is: 216,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,714.40 : 616,163.40 = 144,483.60 : x
  2. Step 2: Convert to fraction form
    410,714.40/616,163.40 = 144,483.60/x
  3. Step 3: Cross multiply
    410,714.40x = 616,163.40 × 144,483.60
  4. Step 4: Simplify right side
    410,714.40x = 89,025,506,220.24
  5. Step 5: Solve for x
    x = 89,025,506,220.24/410,714.40
  6. Step 6: Final answer
    x = 216,757.69

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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.