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Finding the Fourth Proportional to 527,640.23, 728,144.14 and 285,920.69

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Solution

The fourth proportional to 527,640.23, 728,144.14 and 285,920.69 is: 394,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,640.23 : 728,144.14 = 285,920.69 : x
  2. Step 2: Convert to fraction form
    527,640.23/728,144.14 = 285,920.69/x
  3. Step 3: Cross multiply
    527,640.23x = 728,144.14 × 285,920.69
  4. Step 4: Simplify right side
    527,640.23x = 208,191,475,012.99
  5. Step 5: Solve for x
    x = 208,191,475,012.99/527,640.23
  6. Step 6: Final answer
    x = 394,570.89

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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.