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Finding the Fourth Proportional to 315,980.40, 474,035.40 and 105,769.20

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Solution

The fourth proportional to 315,980.40, 474,035.40 and 105,769.20 is: 158,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,980.40 : 474,035.40 = 105,769.20 : x
  2. Step 2: Convert to fraction form
    315,980.40/474,035.40 = 105,769.20/x
  3. Step 3: Cross multiply
    315,980.40x = 474,035.40 × 105,769.20
  4. Step 4: Simplify right side
    315,980.40x = 50,138,345,029.68
  5. Step 5: Solve for x
    x = 50,138,345,029.68/315,980.40
  6. Step 6: Final answer
    x = 158,675.49

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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.