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Finding the Fourth Proportional to 417,014.16, 575,480.56 and 226,027.36

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Solution

The fourth proportional to 417,014.16, 575,480.56 and 226,027.36 is: 311,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,014.16 : 575,480.56 = 226,027.36 : x
  2. Step 2: Convert to fraction form
    417,014.16/575,480.56 = 226,027.36/x
  3. Step 3: Cross multiply
    417,014.16x = 575,480.56 × 226,027.36
  4. Step 4: Simplify right side
    417,014.16x = 130,074,351,708.12
  5. Step 5: Solve for x
    x = 130,074,351,708.12/417,014.16
  6. Step 6: Final answer
    x = 311,918.31

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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.