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Finding the Fourth Proportional to 462,844.52, 694,017.14 and 209,987.03

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Solution

The fourth proportional to 462,844.52, 694,017.14 and 209,987.03 is: 314,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,844.52 : 694,017.14 = 209,987.03 : x
  2. Step 2: Convert to fraction form
    462,844.52/694,017.14 = 209,987.03/x
  3. Step 3: Cross multiply
    462,844.52x = 694,017.14 × 209,987.03
  4. Step 4: Simplify right side
    462,844.52x = 145,734,593,477.67
  5. Step 5: Solve for x
    x = 145,734,593,477.67/462,844.52
  6. Step 6: Final answer
    x = 314,867.28

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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.