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Finding the Fourth Proportional to 304,139.70, 456,209.55 and 82,523.70

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Solution

The fourth proportional to 304,139.70, 456,209.55 and 82,523.70 is: 123,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,139.70 : 456,209.55 = 82,523.70 : x
  2. Step 2: Convert to fraction form
    304,139.70/456,209.55 = 82,523.70/x
  3. Step 3: Cross multiply
    304,139.70x = 456,209.55 × 82,523.70
  4. Step 4: Simplify right side
    304,139.70x = 37,648,100,041.34
  5. Step 5: Solve for x
    x = 37,648,100,041.34/304,139.70
  6. Step 6: Final answer
    x = 123,785.55

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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.