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Finding the Fourth Proportional to 512,027.52, 767,973.82 and 152,190.69

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Solution

The fourth proportional to 512,027.52, 767,973.82 and 152,190.69 is: 228,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,027.52 : 767,973.82 = 152,190.69 : x
  2. Step 2: Convert to fraction form
    512,027.52/767,973.82 = 152,190.69/x
  3. Step 3: Cross multiply
    512,027.52x = 767,973.82 × 152,190.69
  4. Step 4: Simplify right side
    512,027.52x = 116,878,465,567.74
  5. Step 5: Solve for x
    x = 116,878,465,567.74/512,027.52
  6. Step 6: Final answer
    x = 228,265.98

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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.