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Finding the Fourth Proportional to 431,973, 596,121.03 and 240,986.16

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Solution

The fourth proportional to 431,973, 596,121.03 and 240,986.16 is: 332,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,973 : 596,121.03 = 240,986.16 : x
  2. Step 2: Convert to fraction form
    431,973/596,121.03 = 240,986.16/x
  3. Step 3: Cross multiply
    431,973x = 596,121.03 × 240,986.16
  4. Step 4: Simplify right side
    431,973x = 143,656,917,914.95
  5. Step 5: Solve for x
    x = 143,656,917,914.95/431,973
  6. Step 6: Final answer
    x = 332,559.95

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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.