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Finding the Fourth Proportional to 304,343.80, 456,515.70 and 146,534.20

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Solution

The fourth proportional to 304,343.80, 456,515.70 and 146,534.20 is: 219,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,343.80 : 456,515.70 = 146,534.20 : x
  2. Step 2: Convert to fraction form
    304,343.80/456,515.70 = 146,534.20/x
  3. Step 3: Cross multiply
    304,343.80x = 456,515.70 × 146,534.20
  4. Step 4: Simplify right side
    304,343.80x = 66,895,162,886.94
  5. Step 5: Solve for x
    x = 66,895,162,886.94/304,343.80
  6. Step 6: Final answer
    x = 219,801.30

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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.