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Finding the Fourth Proportional to 413,850.40, 571,071 and 232,533.52

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Solution

The fourth proportional to 413,850.40, 571,071 and 232,533.52 is: 320,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,850.40 : 571,071 = 232,533.52 : x
  2. Step 2: Convert to fraction form
    413,850.40/571,071 = 232,533.52/x
  3. Step 3: Cross multiply
    413,850.40x = 571,071 × 232,533.52
  4. Step 4: Simplify right side
    413,850.40x = 132,793,149,799.92
  5. Step 5: Solve for x
    x = 132,793,149,799.92/413,850.40
  6. Step 6: Final answer
    x = 320,872.35

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