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Finding the Fourth Proportional to 508,589.42, 701,881.00 and 282,239.78

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Solution

The fourth proportional to 508,589.42, 701,881.00 and 282,239.78 is: 389,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,589.42 : 701,881.00 = 282,239.78 : x
  2. Step 2: Convert to fraction form
    508,589.42/701,881.00 = 282,239.78/x
  3. Step 3: Cross multiply
    508,589.42x = 701,881.00 × 282,239.78
  4. Step 4: Simplify right side
    508,589.42x = 198,098,734,811.18
  5. Step 5: Solve for x
    x = 198,098,734,811.18/508,589.42
  6. Step 6: Final answer
    x = 389,506.21

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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.