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Finding the Fourth Proportional to 576,228.60, 863,565.30 and 409,822.20

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Solution

The fourth proportional to 576,228.60, 863,565.30 and 409,822.20 is: 614,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,228.60 : 863,565.30 = 409,822.20 : x
  2. Step 2: Convert to fraction form
    576,228.60/863,565.30 = 409,822.20/x
  3. Step 3: Cross multiply
    576,228.60x = 863,565.30 × 409,822.20
  4. Step 4: Simplify right side
    576,228.60x = 353,908,231,089.66
  5. Step 5: Solve for x
    x = 353,908,231,089.66/576,228.60
  6. Step 6: Final answer
    x = 614,180.26

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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.