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Finding the Fourth Proportional to 409,322.58, 564,709.86 and 248,118.84

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Solution

The fourth proportional to 409,322.58, 564,709.86 and 248,118.84 is: 342,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,322.58 : 564,709.86 = 248,118.84 : x
  2. Step 2: Convert to fraction form
    409,322.58/564,709.86 = 248,118.84/x
  3. Step 3: Cross multiply
    409,322.58x = 564,709.86 × 248,118.84
  4. Step 4: Simplify right side
    409,322.58x = 140,115,155,399.76
  5. Step 5: Solve for x
    x = 140,115,155,399.76/409,322.58
  6. Step 6: Final answer
    x = 342,309.86

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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.