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Finding the Fourth Proportional to 330,838.40, 456,341.64 and 194,757.59

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Solution

The fourth proportional to 330,838.40, 456,341.64 and 194,757.59 is: 268,638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,838.40 : 456,341.64 = 194,757.59 : x
  2. Step 2: Convert to fraction form
    330,838.40/456,341.64 = 194,757.59/x
  3. Step 3: Cross multiply
    330,838.40x = 456,341.64 × 194,757.59
  4. Step 4: Simplify right side
    330,838.40x = 88,875,998,023.05
  5. Step 5: Solve for x
    x = 88,875,998,023.05/330,838.40
  6. Step 6: Final answer
    x = 268,638.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.