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Finding the Fourth Proportional to 508,609.13, 701,882.42 and 282,254.63

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Solution

The fourth proportional to 508,609.13, 701,882.42 and 282,254.63 is: 389,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,609.13 : 701,882.42 = 282,254.63 : x
  2. Step 2: Convert to fraction form
    508,609.13/701,882.42 = 282,254.63/x
  3. Step 3: Cross multiply
    508,609.13x = 701,882.42 × 282,254.63
  4. Step 4: Simplify right side
    508,609.13x = 198,109,557,839.92
  5. Step 5: Solve for x
    x = 198,109,557,839.92/508,609.13
  6. Step 6: Final answer
    x = 389,512.39

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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.