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Finding the Fourth Proportional to 413,285.86, 619,336.77 and 235,425.61

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Solution

The fourth proportional to 413,285.86, 619,336.77 and 235,425.61 is: 352,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,285.86 : 619,336.77 = 235,425.61 : x
  2. Step 2: Convert to fraction form
    413,285.86/619,336.77 = 235,425.61/x
  3. Step 3: Cross multiply
    413,285.86x = 619,336.77 × 235,425.61
  4. Step 4: Simplify right side
    413,285.86x = 145,807,736,872.68
  5. Step 5: Solve for x
    x = 145,807,736,872.68/413,285.86
  6. Step 6: Final answer
    x = 352,801.17

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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.