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Finding the Fourth Proportional to 314,244.68, 470,996.13 and 134,277.46

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Solution

The fourth proportional to 314,244.68, 470,996.13 and 134,277.46 is: 201,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,244.68 : 470,996.13 = 134,277.46 : x
  2. Step 2: Convert to fraction form
    314,244.68/470,996.13 = 134,277.46/x
  3. Step 3: Cross multiply
    314,244.68x = 470,996.13 × 134,277.46
  4. Step 4: Simplify right side
    314,244.68x = 63,244,164,006.23
  5. Step 5: Solve for x
    x = 63,244,164,006.23/314,244.68
  6. Step 6: Final answer
    x = 201,257.71

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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.