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Finding the Fourth Proportional to 392,460.96, 588,864.78 and 304,478.76

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Solution

The fourth proportional to 392,460.96, 588,864.78 and 304,478.76 is: 456,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,460.96 : 588,864.78 = 304,478.76 : x
  2. Step 2: Convert to fraction form
    392,460.96/588,864.78 = 304,478.76/x
  3. Step 3: Cross multiply
    392,460.96x = 588,864.78 × 304,478.76
  4. Step 4: Simplify right side
    392,460.96x = 179,296,818,022.07
  5. Step 5: Solve for x
    x = 179,296,818,022.07/392,460.96
  6. Step 6: Final answer
    x = 456,852.62

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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.