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Finding the Fourth Proportional to 375,464.20, 564,794.52 and 340,348.96

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Solution

The fourth proportional to 375,464.20, 564,794.52 and 340,348.96 is: 511,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,464.20 : 564,794.52 = 340,348.96 : x
  2. Step 2: Convert to fraction form
    375,464.20/564,794.52 = 340,348.96/x
  3. Step 3: Cross multiply
    375,464.20x = 564,794.52 × 340,348.96
  4. Step 4: Simplify right side
    375,464.20x = 192,227,227,495.70
  5. Step 5: Solve for x
    x = 192,227,227,495.70/375,464.20
  6. Step 6: Final answer
    x = 511,972.19

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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.