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Finding the Fourth Proportional to 353,812.59, 487,941.37 and 232,909.16

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Solution

The fourth proportional to 353,812.59, 487,941.37 and 232,909.16 is: 321,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,812.59 : 487,941.37 = 232,909.16 : x
  2. Step 2: Convert to fraction form
    353,812.59/487,941.37 = 232,909.16/x
  3. Step 3: Cross multiply
    353,812.59x = 487,941.37 × 232,909.16
  4. Step 4: Simplify right side
    353,812.59x = 113,646,011,593.97
  5. Step 5: Solve for x
    x = 113,646,011,593.97/353,812.59
  6. Step 6: Final answer
    x = 321,203.98

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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.