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Finding the Fourth Proportional to 403,275.84, 605,050.56 and 178,606.08

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Solution

The fourth proportional to 403,275.84, 605,050.56 and 178,606.08 is: 267,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,275.84 : 605,050.56 = 178,606.08 : x
  2. Step 2: Convert to fraction form
    403,275.84/605,050.56 = 178,606.08/x
  3. Step 3: Cross multiply
    403,275.84x = 605,050.56 × 178,606.08
  4. Step 4: Simplify right side
    403,275.84x = 108,065,708,723.41
  5. Step 5: Solve for x
    x = 108,065,708,723.41/403,275.84
  6. Step 6: Final answer
    x = 267,969.71

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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.