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Finding the Fourth Proportional to 506,612.48, 759,452.16 and 225,976.64

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Solution

The fourth proportional to 506,612.48, 759,452.16 and 225,976.64 is: 338,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,612.48 : 759,452.16 = 225,976.64 : x
  2. Step 2: Convert to fraction form
    506,612.48/759,452.16 = 225,976.64/x
  3. Step 3: Cross multiply
    506,612.48x = 759,452.16 × 225,976.64
  4. Step 4: Simplify right side
    506,612.48x = 171,618,447,357.54
  5. Step 5: Solve for x
    x = 171,618,447,357.54/506,612.48
  6. Step 6: Final answer
    x = 338,756.85

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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.