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Finding the Fourth Proportional to 345,976.95, 519,035.48 and 146,297.01

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Solution

The fourth proportional to 345,976.95, 519,035.48 and 146,297.01 is: 219,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,976.95 : 519,035.48 = 146,297.01 : x
  2. Step 2: Convert to fraction form
    345,976.95/519,035.48 = 146,297.01/x
  3. Step 3: Cross multiply
    345,976.95x = 519,035.48 × 146,297.01
  4. Step 4: Simplify right side
    345,976.95x = 75,933,338,076.43
  5. Step 5: Solve for x
    x = 75,933,338,076.43/345,976.95
  6. Step 6: Final answer
    x = 219,475.14

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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.