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Finding the Fourth Proportional to 417,241.10, 575,796.32 and 226,254.49

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Solution

The fourth proportional to 417,241.10, 575,796.32 and 226,254.49 is: 312,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,241.10 : 575,796.32 = 226,254.49 : x
  2. Step 2: Convert to fraction form
    417,241.10/575,796.32 = 226,254.49/x
  3. Step 3: Cross multiply
    417,241.10x = 575,796.32 × 226,254.49
  4. Step 4: Simplify right side
    417,241.10x = 130,276,503,258.94
  5. Step 5: Solve for x
    x = 130,276,503,258.94/417,241.10
  6. Step 6: Final answer
    x = 312,233.15

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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.