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Finding the Fourth Proportional to 304,432.20, 456,677.10 and 82,816.20

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Solution

The fourth proportional to 304,432.20, 456,677.10 and 82,816.20 is: 124,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,432.20 : 456,677.10 = 82,816.20 : x
  2. Step 2: Convert to fraction form
    304,432.20/456,677.10 = 82,816.20/x
  3. Step 3: Cross multiply
    304,432.20x = 456,677.10 × 82,816.20
  4. Step 4: Simplify right side
    304,432.20x = 37,820,262,049.02
  5. Step 5: Solve for x
    x = 37,820,262,049.02/304,432.20
  6. Step 6: Final answer
    x = 124,232.13

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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.