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Finding the Fourth Proportional to 464,016.80, 695,980.20 and 148,388.96

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Solution

The fourth proportional to 464,016.80, 695,980.20 and 148,388.96 is: 222,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,016.80 : 695,980.20 = 148,388.96 : x
  2. Step 2: Convert to fraction form
    464,016.80/695,980.20 = 148,388.96/x
  3. Step 3: Cross multiply
    464,016.80x = 695,980.20 × 148,388.96
  4. Step 4: Simplify right side
    464,016.80x = 103,275,778,058.59
  5. Step 5: Solve for x
    x = 103,275,778,058.59/464,016.80
  6. Step 6: Final answer
    x = 222,569.05

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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.