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Finding the Fourth Proportional to 417,249.70, 575,804.59 and 226,263.24

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Solution

The fourth proportional to 417,249.70, 575,804.59 and 226,263.24 is: 312,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,249.70 : 575,804.59 = 226,263.24 : x
  2. Step 2: Convert to fraction form
    417,249.70/575,804.59 = 226,263.24/x
  3. Step 3: Cross multiply
    417,249.70x = 575,804.59 × 226,263.24
  4. Step 4: Simplify right side
    417,249.70x = 130,283,412,140.27
  5. Step 5: Solve for x
    x = 130,283,412,140.27/417,249.70
  6. Step 6: Final answer
    x = 312,243.27

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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.