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Finding the Fourth Proportional to 304,314.30, 456,471.45 and 164,346.30

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Solution

The fourth proportional to 304,314.30, 456,471.45 and 164,346.30 is: 246,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,314.30 : 456,471.45 = 164,346.30 : x
  2. Step 2: Convert to fraction form
    304,314.30/456,471.45 = 164,346.30/x
  3. Step 3: Cross multiply
    304,314.30x = 456,471.45 × 164,346.30
  4. Step 4: Simplify right side
    304,314.30x = 75,019,393,863.14
  5. Step 5: Solve for x
    x = 75,019,393,863.14/304,314.30
  6. Step 6: Final answer
    x = 246,519.45

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Similar ratio
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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.