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Finding the Fourth Proportional to 417,982.91, 576,820.64 and 227,000.03

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Solution

The fourth proportional to 417,982.91, 576,820.64 and 227,000.03 is: 313,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,982.91 : 576,820.64 = 227,000.03 : x
  2. Step 2: Convert to fraction form
    417,982.91/576,820.64 = 227,000.03/x
  3. Step 3: Cross multiply
    417,982.91x = 576,820.64 × 227,000.03
  4. Step 4: Simplify right side
    417,982.91x = 130,938,300,268.02
  5. Step 5: Solve for x
    x = 130,938,300,268.02/417,982.91
  6. Step 6: Final answer
    x = 313,262.33

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1.5x scale

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.