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Finding the Fourth Proportional to 331,061.94, 456,811.02 and 208,535.28

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Solution

The fourth proportional to 331,061.94, 456,811.02 and 208,535.28 is: 287,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,061.94 : 456,811.02 = 208,535.28 : x
  2. Step 2: Convert to fraction form
    331,061.94/456,811.02 = 208,535.28/x
  3. Step 3: Cross multiply
    331,061.94x = 456,811.02 × 208,535.28
  4. Step 4: Simplify right side
    331,061.94x = 95,261,213,962.79
  5. Step 5: Solve for x
    x = 95,261,213,962.79/331,061.94
  6. Step 6: Final answer
    x = 287,744.38

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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.