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Finding the Fourth Proportional to 304,894.20, 457,341.30 and 83,278.20

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Solution

The fourth proportional to 304,894.20, 457,341.30 and 83,278.20 is: 124,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,894.20 : 457,341.30 = 83,278.20 : x
  2. Step 2: Convert to fraction form
    304,894.20/457,341.30 = 83,278.20/x
  3. Step 3: Cross multiply
    304,894.20x = 457,341.30 × 83,278.20
  4. Step 4: Simplify right side
    304,894.20x = 38,086,560,249.66
  5. Step 5: Solve for x
    x = 38,086,560,249.66/304,894.20
  6. Step 6: Final answer
    x = 124,917.30

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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.