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Finding the Fourth Proportional to 405,881.97, 608,642.98 and 216,307

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Solution

The fourth proportional to 405,881.97, 608,642.98 and 216,307 is: 324,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,881.97 : 608,642.98 = 216,307 : x
  2. Step 2: Convert to fraction form
    405,881.97/608,642.98 = 216,307/x
  3. Step 3: Cross multiply
    405,881.97x = 608,642.98 × 216,307
  4. Step 4: Simplify right side
    405,881.97x = 131,653,737,074.86
  5. Step 5: Solve for x
    x = 131,653,737,074.86/405,881.97
  6. Step 6: Final answer
    x = 324,364.59

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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.