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Finding the Fourth Proportional to 508,513.50, 701,748.63 and 282,195.42

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Solution

The fourth proportional to 508,513.50, 701,748.63 and 282,195.42 is: 389,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,513.50 : 701,748.63 = 282,195.42 : x
  2. Step 2: Convert to fraction form
    508,513.50/701,748.63 = 282,195.42/x
  3. Step 3: Cross multiply
    508,513.50x = 701,748.63 × 282,195.42
  4. Step 4: Simplify right side
    508,513.50x = 198,030,249,377.28
  5. Step 5: Solve for x
    x = 198,030,249,377.28/508,513.50
  6. Step 6: Final answer
    x = 389,429.68

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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.