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Finding the Fourth Proportional to 706,585.74, 1,059,853.88 and 201,149.52

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Solution

The fourth proportional to 706,585.74, 1,059,853.88 and 201,149.52 is: 301,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,585.74 : 1,059,853.88 = 201,149.52 : x
  2. Step 2: Convert to fraction form
    706,585.74/1,059,853.88 = 201,149.52/x
  3. Step 3: Cross multiply
    706,585.74x = 1,059,853.88 × 201,149.52
  4. Step 4: Simplify right side
    706,585.74x = 213,189,099,232.14
  5. Step 5: Solve for x
    x = 213,189,099,232.14/706,585.74
  6. Step 6: Final answer
    x = 301,717.24

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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.