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Finding the Fourth Proportional to 978,265.20, 1,467,324.90 and 409,499.40

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Solution

The fourth proportional to 978,265.20, 1,467,324.90 and 409,499.40 is: 614,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,265.20 : 1,467,324.90 = 409,499.40 : x
  2. Step 2: Convert to fraction form
    978,265.20/1,467,324.90 = 409,499.40/x
  3. Step 3: Cross multiply
    978,265.20x = 1,467,324.90 × 409,499.40
  4. Step 4: Simplify right side
    978,265.20x = 600,868,666,155.06
  5. Step 5: Solve for x
    x = 600,868,666,155.06/978,265.20
  6. Step 6: Final answer
    x = 614,218.58

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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.