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Finding the Fourth Proportional to 506,418.80, 759,743.40 and 295,948.40

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Solution

The fourth proportional to 506,418.80, 759,743.40 and 295,948.40 is: 443,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,418.80 : 759,743.40 = 295,948.40 : x
  2. Step 2: Convert to fraction form
    506,418.80/759,743.40 = 295,948.40/x
  3. Step 3: Cross multiply
    506,418.80x = 759,743.40 × 295,948.40
  4. Step 4: Simplify right side
    506,418.80x = 224,844,843,640.56
  5. Step 5: Solve for x
    x = 224,844,843,640.56/506,418.80
  6. Step 6: Final answer
    x = 443,989.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.