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Finding the Fourth Proportional to 334,009.66, 500,965.74 and 109,378.95

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Solution

The fourth proportional to 334,009.66, 500,965.74 and 109,378.95 is: 164,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,009.66 : 500,965.74 = 109,378.95 : x
  2. Step 2: Convert to fraction form
    334,009.66/500,965.74 = 109,378.95/x
  3. Step 3: Cross multiply
    334,009.66x = 500,965.74 × 109,378.95
  4. Step 4: Simplify right side
    334,009.66x = 54,795,106,627.17
  5. Step 5: Solve for x
    x = 54,795,106,627.17/334,009.66
  6. Step 6: Final answer
    x = 164,052.46

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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.