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Finding the Fourth Proportional to 513,003.74, 769,588.29 and 158,017.59

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Solution

The fourth proportional to 513,003.74, 769,588.29 and 158,017.59 is: 237,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,003.74 : 769,588.29 = 158,017.59 : x
  2. Step 2: Convert to fraction form
    513,003.74/769,588.29 = 158,017.59/x
  3. Step 3: Cross multiply
    513,003.74x = 769,588.29 × 158,017.59
  4. Step 4: Simplify right side
    513,003.74x = 121,608,486,878.02
  5. Step 5: Solve for x
    x = 121,608,486,878.02/513,003.74
  6. Step 6: Final answer
    x = 237,051.85

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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.