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Finding the Fourth Proportional to 331,587.94, 497,505.06 and 230,332.64

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Solution

The fourth proportional to 331,587.94, 497,505.06 and 230,332.64 is: 345,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,587.94 : 497,505.06 = 230,332.64 : x
  2. Step 2: Convert to fraction form
    331,587.94/497,505.06 = 230,332.64/x
  3. Step 3: Cross multiply
    331,587.94x = 497,505.06 × 230,332.64
  4. Step 4: Simplify right side
    331,587.94x = 114,591,653,883.16
  5. Step 5: Solve for x
    x = 114,591,653,883.16/331,587.94
  6. Step 6: Final answer
    x = 345,584.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.