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Finding the Fourth Proportional to 576,234.60, 863,574.30 and 409,828.20

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Solution

The fourth proportional to 576,234.60, 863,574.30 and 409,828.20 is: 614,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,234.60 : 863,574.30 = 409,828.20 : x
  2. Step 2: Convert to fraction form
    576,234.60/863,574.30 = 409,828.20/x
  3. Step 3: Cross multiply
    576,234.60x = 863,574.30 × 409,828.20
  4. Step 4: Simplify right side
    576,234.60x = 353,917,100,935.26
  5. Step 5: Solve for x
    x = 353,917,100,935.26/576,234.60
  6. Step 6: Final answer
    x = 614,189.26

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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.