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Finding the Fourth Proportional to 668,327.64, 922,206.90 and 381,866.28

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Solution

The fourth proportional to 668,327.64, 922,206.90 and 381,866.28 is: 526,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,327.64 : 922,206.90 = 381,866.28 : x
  2. Step 2: Convert to fraction form
    668,327.64/922,206.90 = 381,866.28/x
  3. Step 3: Cross multiply
    668,327.64x = 922,206.90 × 381,866.28
  4. Step 4: Simplify right side
    668,327.64x = 352,159,718,293.33
  5. Step 5: Solve for x
    x = 352,159,718,293.33/668,327.64
  6. Step 6: Final answer
    x = 526,926.76

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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.