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Finding the Fourth Proportional to 417,250.82, 575,806.14 and 226,264.36

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Solution

The fourth proportional to 417,250.82, 575,806.14 and 226,264.36 is: 312,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,250.82 : 575,806.14 = 226,264.36 : x
  2. Step 2: Convert to fraction form
    417,250.82/575,806.14 = 226,264.36/x
  3. Step 3: Cross multiply
    417,250.82x = 575,806.14 × 226,264.36
  4. Step 4: Simplify right side
    417,250.82x = 130,284,407,751.17
  5. Step 5: Solve for x
    x = 130,284,407,751.17/417,250.82
  6. Step 6: Final answer
    x = 312,244.82

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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.