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Finding the Fourth Proportional to 508,558.56, 701,814.96 and 282,207.84

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Solution

The fourth proportional to 508,558.56, 701,814.96 and 282,207.84 is: 389,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,558.56 : 701,814.96 = 282,207.84 : x
  2. Step 2: Convert to fraction form
    508,558.56/701,814.96 = 282,207.84/x
  3. Step 3: Cross multiply
    508,558.56x = 701,814.96 × 282,207.84
  4. Step 4: Simplify right side
    508,558.56x = 198,057,683,941.29
  5. Step 5: Solve for x
    x = 198,057,683,941.29/508,558.56
  6. Step 6: Final answer
    x = 389,449.12

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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.