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Finding the Fourth Proportional to 345,323.88, 476,620.47 and 232,081.02

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Solution

The fourth proportional to 345,323.88, 476,620.47 and 232,081.02 is: 320,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,323.88 : 476,620.47 = 232,081.02 : x
  2. Step 2: Convert to fraction form
    345,323.88/476,620.47 = 232,081.02/x
  3. Step 3: Cross multiply
    345,323.88x = 476,620.47 × 232,081.02
  4. Step 4: Simplify right side
    345,323.88x = 110,614,564,830.48
  5. Step 5: Solve for x
    x = 110,614,564,830.48/345,323.88
  6. Step 6: Final answer
    x = 320,321.22

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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.