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Finding the Fourth Proportional to 508,451.72, 701,663.46 and 282,096.68

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Solution

The fourth proportional to 508,451.72, 701,663.46 and 282,096.68 is: 389,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,451.72 : 701,663.46 = 282,096.68 : x
  2. Step 2: Convert to fraction form
    508,451.72/701,663.46 = 282,096.68/x
  3. Step 3: Cross multiply
    508,451.72x = 701,663.46 × 282,096.68
  4. Step 4: Simplify right side
    508,451.72x = 197,936,932,543.31
  5. Step 5: Solve for x
    x = 197,936,932,543.31/508,451.72
  6. Step 6: Final answer
    x = 389,293.47

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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.