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Finding the Fourth Proportional to 304,645.20, 456,643.80 and 146,770.80

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Solution

The fourth proportional to 304,645.20, 456,643.80 and 146,770.80 is: 220,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,645.20 : 456,643.80 = 146,770.80 : x
  2. Step 2: Convert to fraction form
    304,645.20/456,643.80 = 146,770.80/x
  3. Step 3: Cross multiply
    304,645.20x = 456,643.80 × 146,770.80
  4. Step 4: Simplify right side
    304,645.20x = 67,021,975,841.04
  5. Step 5: Solve for x
    x = 67,021,975,841.04/304,645.20
  6. Step 6: Final answer
    x = 220,000.10

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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.