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Finding the Fourth Proportional to 431,871.34, 595,980.90 and 240,884.58

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Solution

The fourth proportional to 431,871.34, 595,980.90 and 240,884.58 is: 332,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,871.34 : 595,980.90 = 240,884.58 : x
  2. Step 2: Convert to fraction form
    431,871.34/595,980.90 = 240,884.58/x
  3. Step 3: Cross multiply
    431,871.34x = 595,980.90 × 240,884.58
  4. Step 4: Simplify right side
    431,871.34x = 143,562,608,784.52
  5. Step 5: Solve for x
    x = 143,562,608,784.52/431,871.34
  6. Step 6: Final answer
    x = 332,419.86

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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.