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Finding the Fourth Proportional to 978,054.70, 1,467,009.15 and 409,288.90

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Solution

The fourth proportional to 978,054.70, 1,467,009.15 and 409,288.90 is: 613,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,054.70 : 1,467,009.15 = 409,288.90 : x
  2. Step 2: Convert to fraction form
    978,054.70/1,467,009.15 = 409,288.90/x
  3. Step 3: Cross multiply
    978,054.70x = 1,467,009.15 × 409,288.90
  4. Step 4: Simplify right side
    978,054.70x = 600,430,561,293.44
  5. Step 5: Solve for x
    x = 600,430,561,293.44/978,054.70
  6. Step 6: Final answer
    x = 613,902.84

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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.