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Finding the Fourth Proportional to 464,970.80, 697,456.20 and 165,789.20

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Solution

The fourth proportional to 464,970.80, 697,456.20 and 165,789.20 is: 248,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,970.80 : 697,456.20 = 165,789.20 : x
  2. Step 2: Convert to fraction form
    464,970.80/697,456.20 = 165,789.20/x
  3. Step 3: Cross multiply
    464,970.80x = 697,456.20 × 165,789.20
  4. Step 4: Simplify right side
    464,970.80x = 115,630,705,433.04
  5. Step 5: Solve for x
    x = 115,630,705,433.04/464,970.80
  6. Step 6: Final answer
    x = 248,683.80

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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.