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Finding the Fourth Proportional to 410,271.92, 615,682.78 and 144,033.22

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Solution

The fourth proportional to 410,271.92, 615,682.78 and 144,033.22 is: 216,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,271.92 : 615,682.78 = 144,033.22 : x
  2. Step 2: Convert to fraction form
    410,271.92/615,682.78 = 144,033.22/x
  3. Step 3: Cross multiply
    410,271.92x = 615,682.78 × 144,033.22
  4. Step 4: Simplify right side
    410,271.92x = 88,678,773,301.95
  5. Step 5: Solve for x
    x = 88,678,773,301.95/410,271.92
  6. Step 6: Final answer
    x = 216,146.34

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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.