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Finding the Fourth Proportional to 527,906.19, 791,692.56 and 172,838.64

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Solution

The fourth proportional to 527,906.19, 791,692.56 and 172,838.64 is: 259,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,906.19 : 791,692.56 = 172,838.64 : x
  2. Step 2: Convert to fraction form
    527,906.19/791,692.56 = 172,838.64/x
  3. Step 3: Cross multiply
    527,906.19x = 791,692.56 × 172,838.64
  4. Step 4: Simplify right side
    527,906.19x = 136,835,065,368.52
  5. Step 5: Solve for x
    x = 136,835,065,368.52/527,906.19
  6. Step 6: Final answer
    x = 259,203.37

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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.