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Finding the Fourth Proportional to 526,314.72, 726,313.78 and 284,596.72

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Solution

The fourth proportional to 526,314.72, 726,313.78 and 284,596.72 is: 392,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,314.72 : 726,313.78 = 284,596.72 : x
  2. Step 2: Convert to fraction form
    526,314.72/726,313.78 = 284,596.72/x
  3. Step 3: Cross multiply
    526,314.72x = 726,313.78 × 284,596.72
  4. Step 4: Simplify right side
    526,314.72x = 206,706,519,478.80
  5. Step 5: Solve for x
    x = 206,706,519,478.80/526,314.72
  6. Step 6: Final answer
    x = 392,743.19

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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.