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Finding the Fourth Proportional to 527,757, 791,335.59 and 207,735.42

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Solution

The fourth proportional to 527,757, 791,335.59 and 207,735.42 is: 311,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,757 : 791,335.59 = 207,735.42 : x
  2. Step 2: Convert to fraction form
    527,757/791,335.59 = 207,735.42/x
  3. Step 3: Cross multiply
    527,757x = 791,335.59 × 207,735.42
  4. Step 4: Simplify right side
    527,757x = 164,388,431,149.60
  5. Step 5: Solve for x
    x = 164,388,431,149.60/527,757
  6. Step 6: Final answer
    x = 311,485.08

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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.