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Finding the Fourth Proportional to 312,578.10, 431,357.73 and 169,338.10

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Solution

The fourth proportional to 312,578.10, 431,357.73 and 169,338.10 is: 233,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,578.10 : 431,357.73 = 169,338.10 : x
  2. Step 2: Convert to fraction form
    312,578.10/431,357.73 = 169,338.10/x
  3. Step 3: Cross multiply
    312,578.10x = 431,357.73 × 169,338.10
  4. Step 4: Simplify right side
    312,578.10x = 73,045,298,418.51
  5. Step 5: Solve for x
    x = 73,045,298,418.51/312,578.10
  6. Step 6: Final answer
    x = 233,686.55

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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.