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Finding the Fourth Proportional to 415,216.64, 572,998.96 and 224,230.02

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Solution

The fourth proportional to 415,216.64, 572,998.96 and 224,230.02 is: 309,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,216.64 : 572,998.96 = 224,230.02 : x
  2. Step 2: Convert to fraction form
    415,216.64/572,998.96 = 224,230.02/x
  3. Step 3: Cross multiply
    415,216.64x = 572,998.96 × 224,230.02
  4. Step 4: Simplify right side
    415,216.64x = 128,483,568,260.78
  5. Step 5: Solve for x
    x = 128,483,568,260.78/415,216.64
  6. Step 6: Final answer
    x = 309,437.43

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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.