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Finding the Fourth Proportional to 460,234.26, 634,579.80 and 315,110.40

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Solution

The fourth proportional to 460,234.26, 634,579.80 and 315,110.40 is: 434,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,234.26 : 634,579.80 = 315,110.40 : x
  2. Step 2: Convert to fraction form
    460,234.26/634,579.80 = 315,110.40/x
  3. Step 3: Cross multiply
    460,234.26x = 634,579.80 × 315,110.40
  4. Step 4: Simplify right side
    460,234.26x = 199,962,694,609.92
  5. Step 5: Solve for x
    x = 199,962,694,609.92/460,234.26
  6. Step 6: Final answer
    x = 434,480.25

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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.