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Finding the Fourth Proportional to 293,318.84, 404,786.06 and 165,994.40

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Solution

The fourth proportional to 293,318.84, 404,786.06 and 165,994.40 is: 229,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,318.84 : 404,786.06 = 165,994.40 : x
  2. Step 2: Convert to fraction form
    293,318.84/404,786.06 = 165,994.40/x
  3. Step 3: Cross multiply
    293,318.84x = 404,786.06 × 165,994.40
  4. Step 4: Simplify right side
    293,318.84x = 67,192,219,158.06
  5. Step 5: Solve for x
    x = 67,192,219,158.06/293,318.84
  6. Step 6: Final answer
    x = 229,075.70

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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.