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Finding the Fourth Proportional to 410,274.92, 615,687.21 and 144,036.23

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Solution

The fourth proportional to 410,274.92, 615,687.21 and 144,036.23 is: 216,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,274.92 : 615,687.21 = 144,036.23 : x
  2. Step 2: Convert to fraction form
    410,274.92/615,687.21 = 144,036.23/x
  3. Step 3: Cross multiply
    410,274.92x = 615,687.21 × 144,036.23
  4. Step 4: Simplify right side
    410,274.92x = 88,681,261,509.18
  5. Step 5: Solve for x
    x = 88,681,261,509.18/410,274.92
  6. Step 6: Final answer
    x = 216,150.82

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1.5x scale

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.