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Finding the Fourth Proportional to 576,256.60, 863,607.30 and 409,850.20

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Solution

The fourth proportional to 576,256.60, 863,607.30 and 409,850.20 is: 614,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,256.60 : 863,607.30 = 409,850.20 : x
  2. Step 2: Convert to fraction form
    576,256.60/863,607.30 = 409,850.20/x
  3. Step 3: Cross multiply
    576,256.60x = 863,607.30 × 409,850.20
  4. Step 4: Simplify right side
    576,256.60x = 353,949,624,626.46
  5. Step 5: Solve for x
    x = 353,949,624,626.46/576,256.60
  6. Step 6: Final answer
    x = 614,222.25

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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.