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Finding the Fourth Proportional to 668,327.14, 922,206.21 and 381,865.78

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Solution

The fourth proportional to 668,327.14, 922,206.21 and 381,865.78 is: 526,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,327.14 : 922,206.21 = 381,865.78 : x
  2. Step 2: Convert to fraction form
    668,327.14/922,206.21 = 381,865.78/x
  3. Step 3: Cross multiply
    668,327.14x = 922,206.21 × 381,865.78
  4. Step 4: Simplify right side
    668,327.14x = 352,158,993,702.49
  5. Step 5: Solve for x
    x = 352,158,993,702.49/668,327.14
  6. Step 6: Final answer
    x = 526,926.07

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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.