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Finding the Fourth Proportional to 577,961.76, 866,855.16 and 157,270.44

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Solution

The fourth proportional to 577,961.76, 866,855.16 and 157,270.44 is: 235,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,961.76 : 866,855.16 = 157,270.44 : x
  2. Step 2: Convert to fraction form
    577,961.76/866,855.16 = 157,270.44/x
  3. Step 3: Cross multiply
    577,961.76x = 866,855.16 × 157,270.44
  4. Step 4: Simplify right side
    577,961.76x = 136,330,692,429.47
  5. Step 5: Solve for x
    x = 136,330,692,429.47/577,961.76
  6. Step 6: Final answer
    x = 235,881.86

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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.