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Finding the Fourth Proportional to 431,871.12, 595,969.32 and 240,880.20

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Solution

The fourth proportional to 431,871.12, 595,969.32 and 240,880.20 is: 332,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,871.12 : 595,969.32 = 240,880.20 : x
  2. Step 2: Convert to fraction form
    431,871.12/595,969.32 = 240,880.20/x
  3. Step 3: Cross multiply
    431,871.12x = 595,969.32 × 240,880.20
  4. Step 4: Simplify right side
    431,871.12x = 143,557,208,995.46
  5. Step 5: Solve for x
    x = 143,557,208,995.46/431,871.12
  6. Step 6: Final answer
    x = 332,407.52

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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.