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Finding the Fourth Proportional to 442,206.54, 663,322.80 and 122,361.03

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Solution

The fourth proportional to 442,206.54, 663,322.80 and 122,361.03 is: 183,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,206.54 : 663,322.80 = 122,361.03 : x
  2. Step 2: Convert to fraction form
    442,206.54/663,322.80 = 122,361.03/x
  3. Step 3: Cross multiply
    442,206.54x = 663,322.80 × 122,361.03
  4. Step 4: Simplify right side
    442,206.54x = 81,164,861,030.48
  5. Step 5: Solve for x
    x = 81,164,861,030.48/442,206.54
  6. Step 6: Final answer
    x = 183,545.14

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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.