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Finding the Fourth Proportional to 304,675.20, 456,711.48 and 144,469.32

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Solution

The fourth proportional to 304,675.20, 456,711.48 and 144,469.32 is: 216,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,675.20 : 456,711.48 = 144,469.32 : x
  2. Step 2: Convert to fraction form
    304,675.20/456,711.48 = 144,469.32/x
  3. Step 3: Cross multiply
    304,675.20x = 456,711.48 × 144,469.32
  4. Step 4: Simplify right side
    304,675.20x = 65,980,796,951.79
  5. Step 5: Solve for x
    x = 65,980,796,951.79/304,675.20
  6. Step 6: Final answer
    x = 216,561.10

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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.