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Finding the Fourth Proportional to 417,956.11, 626,852.56 and 133,570.38

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Solution

The fourth proportional to 417,956.11, 626,852.56 and 133,570.38 is: 200,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,956.11 : 626,852.56 = 133,570.38 : x
  2. Step 2: Convert to fraction form
    417,956.11/626,852.56 = 133,570.38/x
  3. Step 3: Cross multiply
    417,956.11x = 626,852.56 × 133,570.38
  4. Step 4: Simplify right side
    417,956.11x = 83,728,931,174.98
  5. Step 5: Solve for x
    x = 83,728,931,174.98/417,956.11
  6. Step 6: Final answer
    x = 200,329.48

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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.