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Finding the Fourth Proportional to 410,301.20, 615,160.20 and 185,769.20

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Solution

The fourth proportional to 410,301.20, 615,160.20 and 185,769.20 is: 278,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,301.20 : 615,160.20 = 185,769.20 : x
  2. Step 2: Convert to fraction form
    410,301.20/615,160.20 = 185,769.20/x
  3. Step 3: Cross multiply
    410,301.20x = 615,160.20 × 185,769.20
  4. Step 4: Simplify right side
    410,301.20x = 114,277,818,225.84
  5. Step 5: Solve for x
    x = 114,277,818,225.84/410,301.20
  6. Step 6: Final answer
    x = 278,521.77

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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.