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Finding the Fourth Proportional to 514,456.35, 709,950.33 and 288,101.85

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Solution

The fourth proportional to 514,456.35, 709,950.33 and 288,101.85 is: 397,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,456.35 : 709,950.33 = 288,101.85 : x
  2. Step 2: Convert to fraction form
    514,456.35/709,950.33 = 288,101.85/x
  3. Step 3: Cross multiply
    514,456.35x = 709,950.33 × 288,101.85
  4. Step 4: Simplify right side
    514,456.35x = 204,538,002,040.60
  5. Step 5: Solve for x
    x = 204,538,002,040.60/514,456.35
  6. Step 6: Final answer
    x = 397,580.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.