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Finding the Fourth Proportional to 410,339.76, 615,544.88 and 144,077.37

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Solution

The fourth proportional to 410,339.76, 615,544.88 and 144,077.37 is: 216,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,339.76 : 615,544.88 = 144,077.37 : x
  2. Step 2: Convert to fraction form
    410,339.76/615,544.88 = 144,077.37/x
  3. Step 3: Cross multiply
    410,339.76x = 615,544.88 × 144,077.37
  4. Step 4: Simplify right side
    410,339.76x = 88,686,086,706.98
  5. Step 5: Solve for x
    x = 88,686,086,706.98/410,339.76
  6. Step 6: Final answer
    x = 216,128.43

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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.