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Finding the Fourth Proportional to 413,936, 571,232.40 and 235,088

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Solution

The fourth proportional to 413,936, 571,232.40 and 235,088 is: 324,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,936 : 571,232.40 = 235,088 : x
  2. Step 2: Convert to fraction form
    413,936/571,232.40 = 235,088/x
  3. Step 3: Cross multiply
    413,936x = 571,232.40 × 235,088
  4. Step 4: Simplify right side
    413,936x = 134,289,882,451.20
  5. Step 5: Solve for x
    x = 134,289,882,451.20/413,936
  6. Step 6: Final answer
    x = 324,421.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.