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Finding the Fourth Proportional to 413,286.86, 619,338.27 and 235,426.61

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Solution

The fourth proportional to 413,286.86, 619,338.27 and 235,426.61 is: 352,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,286.86 : 619,338.27 = 235,426.61 : x
  2. Step 2: Convert to fraction form
    413,286.86/619,338.27 = 235,426.61/x
  3. Step 3: Cross multiply
    413,286.86x = 619,338.27 × 235,426.61
  4. Step 4: Simplify right side
    413,286.86x = 145,808,709,349.37
  5. Step 5: Solve for x
    x = 145,808,709,349.37/413,286.86
  6. Step 6: Final answer
    x = 352,802.67

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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.