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Finding the Fourth Proportional to 457,180.61, 631,217.51 and 285,360.30

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Solution

The fourth proportional to 457,180.61, 631,217.51 and 285,360.30 is: 393,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,180.61 : 631,217.51 = 285,360.30 : x
  2. Step 2: Convert to fraction form
    457,180.61/631,217.51 = 285,360.30/x
  3. Step 3: Cross multiply
    457,180.61x = 631,217.51 × 285,360.30
  4. Step 4: Simplify right side
    457,180.61x = 180,124,416,592.05
  5. Step 5: Solve for x
    x = 180,124,416,592.05/457,180.61
  6. Step 6: Final answer
    x = 393,989.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.