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Finding the Fourth Proportional to 644,731.40, 967,097.10 and 201,499.40

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Solution

The fourth proportional to 644,731.40, 967,097.10 and 201,499.40 is: 302,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,731.40 : 967,097.10 = 201,499.40 : x
  2. Step 2: Convert to fraction form
    644,731.40/967,097.10 = 201,499.40/x
  3. Step 3: Cross multiply
    644,731.40x = 967,097.10 × 201,499.40
  4. Step 4: Simplify right side
    644,731.40x = 194,869,485,391.74
  5. Step 5: Solve for x
    x = 194,869,485,391.74/644,731.40
  6. Step 6: Final answer
    x = 302,249.10

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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.