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Finding the Fourth Proportional to 978,081.90, 1,467,122.85 and 409,364.70

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Solution

The fourth proportional to 978,081.90, 1,467,122.85 and 409,364.70 is: 614,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,081.90 : 1,467,122.85 = 409,364.70 : x
  2. Step 2: Convert to fraction form
    978,081.90/1,467,122.85 = 409,364.70/x
  3. Step 3: Cross multiply
    978,081.90x = 1,467,122.85 × 409,364.70
  4. Step 4: Simplify right side
    978,081.90x = 600,588,305,353.40
  5. Step 5: Solve for x
    x = 600,588,305,353.40/978,081.90
  6. Step 6: Final answer
    x = 614,047.05

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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.