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Finding the Fourth Proportional to 293,461.50, 440,342.38 and 139,761.50

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Solution

The fourth proportional to 293,461.50, 440,342.38 and 139,761.50 is: 209,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,461.50 : 440,342.38 = 139,761.50 : x
  2. Step 2: Convert to fraction form
    293,461.50/440,342.38 = 139,761.50/x
  3. Step 3: Cross multiply
    293,461.50x = 440,342.38 × 139,761.50
  4. Step 4: Simplify right side
    293,461.50x = 61,542,911,206.13
  5. Step 5: Solve for x
    x = 61,542,911,206.13/293,461.50
  6. Step 6: Final answer
    x = 209,713.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.