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Finding the Fourth Proportional to 370,800.60, 511,714.90 and 209,679.75

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Solution

The fourth proportional to 370,800.60, 511,714.90 and 209,679.75 is: 289,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,800.60 : 511,714.90 = 209,679.75 : x
  2. Step 2: Convert to fraction form
    370,800.60/511,714.90 = 209,679.75/x
  3. Step 3: Cross multiply
    370,800.60x = 511,714.90 × 209,679.75
  4. Step 4: Simplify right side
    370,800.60x = 107,296,252,565.38
  5. Step 5: Solve for x
    x = 107,296,252,565.38/370,800.60
  6. Step 6: Final answer
    x = 289,363.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.