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Finding the Fourth Proportional to 315,646.70, 473,658.69 and 115,987.27

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Solution

The fourth proportional to 315,646.70, 473,658.69 and 115,987.27 is: 174,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,646.70 : 473,658.69 = 115,987.27 : x
  2. Step 2: Convert to fraction form
    315,646.70/473,658.69 = 115,987.27/x
  3. Step 3: Cross multiply
    315,646.70x = 473,658.69 × 115,987.27
  4. Step 4: Simplify right side
    315,646.70x = 54,938,377,180.73
  5. Step 5: Solve for x
    x = 54,938,377,180.73/315,646.70
  6. Step 6: Final answer
    x = 174,050.22

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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.