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Finding the Fourth Proportional to 508,561.38, 701,847.50 and 282,206.88

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Solution

The fourth proportional to 508,561.38, 701,847.50 and 282,206.88 is: 389,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,561.38 : 701,847.50 = 282,206.88 : x
  2. Step 2: Convert to fraction form
    508,561.38/701,847.50 = 282,206.88/x
  3. Step 3: Cross multiply
    508,561.38x = 701,847.50 × 282,206.88
  4. Step 4: Simplify right side
    508,561.38x = 198,066,193,210.80
  5. Step 5: Solve for x
    x = 198,066,193,210.80/508,561.38
  6. Step 6: Final answer
    x = 389,463.69

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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.