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Finding the Fourth Proportional to 588,002.80, 879,930.60 and 409,673.20

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Solution

The fourth proportional to 588,002.80, 879,930.60 and 409,673.20 is: 613,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,002.80 : 879,930.60 = 409,673.20 : x
  2. Step 2: Convert to fraction form
    588,002.80/879,930.60 = 409,673.20/x
  3. Step 3: Cross multiply
    588,002.80x = 879,930.60 × 409,673.20
  4. Step 4: Simplify right side
    588,002.80x = 360,483,984,679.92
  5. Step 5: Solve for x
    x = 360,483,984,679.92/588,002.80
  6. Step 6: Final answer
    x = 613,065.08

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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.