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Finding the Fourth Proportional to 527,732.70, 791,683.14 and 190,739.22

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Solution

The fourth proportional to 527,732.70, 791,683.14 and 190,739.22 is: 286,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,732.70 : 791,683.14 = 190,739.22 : x
  2. Step 2: Convert to fraction form
    527,732.70/791,683.14 = 190,739.22/x
  3. Step 3: Cross multiply
    527,732.70x = 791,683.14 × 190,739.22
  4. Step 4: Simplify right side
    527,732.70x = 151,005,024,610.75
  5. Step 5: Solve for x
    x = 151,005,024,610.75/527,732.70
  6. Step 6: Final answer
    x = 286,139.22

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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.