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Finding the Fourth Proportional to 508,523.28, 701,759.88 and 282,168.24

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Solution

The fourth proportional to 508,523.28, 701,759.88 and 282,168.24 is: 389,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,523.28 : 701,759.88 = 282,168.24 : x
  2. Step 2: Convert to fraction form
    508,523.28/701,759.88 = 282,168.24/x
  3. Step 3: Cross multiply
    508,523.28x = 701,759.88 × 282,168.24
  4. Step 4: Simplify right side
    508,523.28x = 198,014,350,242.21
  5. Step 5: Solve for x
    x = 198,014,350,242.21/508,523.28
  6. Step 6: Final answer
    x = 389,390.92

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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.