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Finding the Fourth Proportional to 512,026.52, 767,972.33 and 152,189.69

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Solution

The fourth proportional to 512,026.52, 767,972.33 and 152,189.69 is: 228,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,026.52 : 767,972.33 = 152,189.69 : x
  2. Step 2: Convert to fraction form
    512,026.52/767,972.33 = 152,189.69/x
  3. Step 3: Cross multiply
    512,026.52x = 767,972.33 × 152,189.69
  4. Step 4: Simplify right side
    512,026.52x = 116,877,466,230.47
  5. Step 5: Solve for x
    x = 116,877,466,230.47/512,026.52
  6. Step 6: Final answer
    x = 228,264.48

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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.