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Finding the Fourth Proportional to 305,714.70, 459,009.45 and 217,359.90

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Solution

The fourth proportional to 305,714.70, 459,009.45 and 217,359.90 is: 326,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,714.70 : 459,009.45 = 217,359.90 : x
  2. Step 2: Convert to fraction form
    305,714.70/459,009.45 = 217,359.90/x
  3. Step 3: Cross multiply
    305,714.70x = 459,009.45 × 217,359.90
  4. Step 4: Simplify right side
    305,714.70x = 99,770,248,151.06
  5. Step 5: Solve for x
    x = 99,770,248,151.06/305,714.70
  6. Step 6: Final answer
    x = 326,350.84

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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.