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Finding the Fourth Proportional to 702,049.92, 968,521.14 and 411,514.20

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Solution

The fourth proportional to 702,049.92, 968,521.14 and 411,514.20 is: 567,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,049.92 : 968,521.14 = 411,514.20 : x
  2. Step 2: Convert to fraction form
    702,049.92/968,521.14 = 411,514.20/x
  3. Step 3: Cross multiply
    702,049.92x = 968,521.14 × 411,514.20
  4. Step 4: Simplify right side
    702,049.92x = 398,560,202,110.19
  5. Step 5: Solve for x
    x = 398,560,202,110.19/702,049.92
  6. Step 6: Final answer
    x = 567,709.21

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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.