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Finding the Fourth Proportional to 450,376.11, 675,182.64 and 197,464.95

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Solution

The fourth proportional to 450,376.11, 675,182.64 and 197,464.95 is: 296,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,376.11 : 675,182.64 = 197,464.95 : x
  2. Step 2: Convert to fraction form
    450,376.11/675,182.64 = 197,464.95/x
  3. Step 3: Cross multiply
    450,376.11x = 675,182.64 × 197,464.95
  4. Step 4: Simplify right side
    450,376.11x = 133,324,906,248.47
  5. Step 5: Solve for x
    x = 133,324,906,248.47/450,376.11
  6. Step 6: Final answer
    x = 296,030.15

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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.