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Finding the Fourth Proportional to 416,437.27, 574,621.29 and 235,145.31

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Solution

The fourth proportional to 416,437.27, 574,621.29 and 235,145.31 is: 324,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,437.27 : 574,621.29 = 235,145.31 : x
  2. Step 2: Convert to fraction form
    416,437.27/574,621.29 = 235,145.31/x
  3. Step 3: Cross multiply
    416,437.27x = 574,621.29 × 235,145.31
  4. Step 4: Simplify right side
    416,437.27x = 135,119,501,369.65
  5. Step 5: Solve for x
    x = 135,119,501,369.65/416,437.27
  6. Step 6: Final answer
    x = 324,465.44

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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.