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Finding the Fourth Proportional to 294,033.88, 440,998.16 and 77,894.08

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Solution

The fourth proportional to 294,033.88, 440,998.16 and 77,894.08 is: 116,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,033.88 : 440,998.16 = 77,894.08 : x
  2. Step 2: Convert to fraction form
    294,033.88/440,998.16 = 77,894.08/x
  3. Step 3: Cross multiply
    294,033.88x = 440,998.16 × 77,894.08
  4. Step 4: Simplify right side
    294,033.88x = 34,351,145,954.89
  5. Step 5: Solve for x
    x = 34,351,145,954.89/294,033.88
  6. Step 6: Final answer
    x = 116,827.17

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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.