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Finding the Fourth Proportional to 417,381.48, 575,982.36 and 226,392.12

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Solution

The fourth proportional to 417,381.48, 575,982.36 and 226,392.12 is: 312,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,381.48 : 575,982.36 = 226,392.12 : x
  2. Step 2: Convert to fraction form
    417,381.48/575,982.36 = 226,392.12/x
  3. Step 3: Cross multiply
    417,381.48x = 575,982.36 × 226,392.12
  4. Step 4: Simplify right side
    417,381.48x = 130,397,867,563.00
  5. Step 5: Solve for x
    x = 130,397,867,563.00/417,381.48
  6. Step 6: Final answer
    x = 312,418.91

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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.