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Finding the Fourth Proportional to 506,873.25, 759,719.39 and 282,126.20

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Solution

The fourth proportional to 506,873.25, 759,719.39 and 282,126.20 is: 422,860.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,873.25 : 759,719.39 = 282,126.20 : x
  2. Step 2: Convert to fraction form
    506,873.25/759,719.39 = 282,126.20/x
  3. Step 3: Cross multiply
    506,873.25x = 759,719.39 × 282,126.20
  4. Step 4: Simplify right side
    506,873.25x = 214,336,739,357.79
  5. Step 5: Solve for x
    x = 214,336,739,357.79/506,873.25
  6. Step 6: Final answer
    x = 422,860.63

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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.