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Finding the Fourth Proportional to 410,394.78, 615,653.69 and 144,108.41

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Solution

The fourth proportional to 410,394.78, 615,653.69 and 144,108.41 is: 216,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,394.78 : 615,653.69 = 144,108.41 : x
  2. Step 2: Convert to fraction form
    410,394.78/615,653.69 = 144,108.41/x
  3. Step 3: Cross multiply
    410,394.78x = 615,653.69 × 144,108.41
  4. Step 4: Simplify right side
    410,394.78x = 88,720,870,577.72
  5. Step 5: Solve for x
    x = 88,720,870,577.72/410,394.78
  6. Step 6: Final answer
    x = 216,184.21

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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.