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Finding the Fourth Proportional to 410,119.40, 615,332.70 and 160,980.20

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Solution

The fourth proportional to 410,119.40, 615,332.70 and 160,980.20 is: 241,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,119.40 : 615,332.70 = 160,980.20 : x
  2. Step 2: Convert to fraction form
    410,119.40/615,332.70 = 160,980.20/x
  3. Step 3: Cross multiply
    410,119.40x = 615,332.70 × 160,980.20
  4. Step 4: Simplify right side
    410,119.40x = 99,056,381,112.54
  5. Step 5: Solve for x
    x = 99,056,381,112.54/410,119.40
  6. Step 6: Final answer
    x = 241,530.59

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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.