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Finding the Fourth Proportional to 306,878.29, 460,317.44 and 93,647.32

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Solution

The fourth proportional to 306,878.29, 460,317.44 and 93,647.32 is: 140,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,878.29 : 460,317.44 = 93,647.32 : x
  2. Step 2: Convert to fraction form
    306,878.29/460,317.44 = 93,647.32/x
  3. Step 3: Cross multiply
    306,878.29x = 460,317.44 × 93,647.32
  4. Step 4: Simplify right side
    306,878.29x = 43,107,493,688.59
  5. Step 5: Solve for x
    x = 43,107,493,688.59/306,878.29
  6. Step 6: Final answer
    x = 140,470.98

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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.