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Finding the Fourth Proportional to 304,290.30, 456,478.65 and 93,906.30

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Solution

The fourth proportional to 304,290.30, 456,478.65 and 93,906.30 is: 140,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,290.30 : 456,478.65 = 93,906.30 : x
  2. Step 2: Convert to fraction form
    304,290.30/456,478.65 = 93,906.30/x
  3. Step 3: Cross multiply
    304,290.30x = 456,478.65 × 93,906.30
  4. Step 4: Simplify right side
    304,290.30x = 42,866,221,050.50
  5. Step 5: Solve for x
    x = 42,866,221,050.50/304,290.30
  6. Step 6: Final answer
    x = 140,872.78

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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.