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Finding the Fourth Proportional to 462,848.41, 694,022.95 and 209,990.91

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Solution

The fourth proportional to 462,848.41, 694,022.95 and 209,990.91 is: 314,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,848.41 : 694,022.95 = 209,990.91 : x
  2. Step 2: Convert to fraction form
    462,848.41/694,022.95 = 209,990.91/x
  3. Step 3: Cross multiply
    462,848.41x = 694,022.95 × 209,990.91
  4. Step 4: Simplify right side
    462,848.41x = 145,738,509,781.43
  5. Step 5: Solve for x
    x = 145,738,509,781.43/462,848.41
  6. Step 6: Final answer
    x = 314,873.09

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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.