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Finding the Fourth Proportional to 457,805.20, 686,707.80 and 383,009.80

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Solution

The fourth proportional to 457,805.20, 686,707.80 and 383,009.80 is: 574,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,805.20 : 686,707.80 = 383,009.80 : x
  2. Step 2: Convert to fraction form
    457,805.20/686,707.80 = 383,009.80/x
  3. Step 3: Cross multiply
    457,805.20x = 686,707.80 × 383,009.80
  4. Step 4: Simplify right side
    457,805.20x = 263,015,817,136.44
  5. Step 5: Solve for x
    x = 263,015,817,136.44/457,805.20
  6. Step 6: Final answer
    x = 574,514.70

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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.