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Finding the Fourth Proportional to 309,886.80, 464,174.10 and 276,644.40

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Solution

The fourth proportional to 309,886.80, 464,174.10 and 276,644.40 is: 414,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,886.80 : 464,174.10 = 276,644.40 : x
  2. Step 2: Convert to fraction form
    309,886.80/464,174.10 = 276,644.40/x
  3. Step 3: Cross multiply
    309,886.80x = 464,174.10 × 276,644.40
  4. Step 4: Simplify right side
    309,886.80x = 128,411,165,390.04
  5. Step 5: Solve for x
    x = 128,411,165,390.04/309,886.80
  6. Step 6: Final answer
    x = 414,380.88

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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.