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Finding the Fourth Proportional to 417,260.82, 575,820.24 and 226,274.16

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Solution

The fourth proportional to 417,260.82, 575,820.24 and 226,274.16 is: 312,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,260.82 : 575,820.24 = 226,274.16 : x
  2. Step 2: Convert to fraction form
    417,260.82/575,820.24 = 226,274.16/x
  3. Step 3: Cross multiply
    417,260.82x = 575,820.24 × 226,274.16
  4. Step 4: Simplify right side
    417,260.82x = 130,293,241,117.00
  5. Step 5: Solve for x
    x = 130,293,241,117.00/417,260.82
  6. Step 6: Final answer
    x = 312,258.51

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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.