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Finding the Fourth Proportional to 417,133.10, 575,621.44 and 235,834.22

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Solution

The fourth proportional to 417,133.10, 575,621.44 and 235,834.22 is: 325,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,133.10 : 575,621.44 = 235,834.22 : x
  2. Step 2: Convert to fraction form
    417,133.10/575,621.44 = 235,834.22/x
  3. Step 3: Cross multiply
    417,133.10x = 575,621.44 × 235,834.22
  4. Step 4: Simplify right side
    417,133.10x = 135,751,229,849.98
  5. Step 5: Solve for x
    x = 135,751,229,849.98/417,133.10
  6. Step 6: Final answer
    x = 325,438.65

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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.