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Finding the Fourth Proportional to 296,415.94, 444,625.02 and 71,776

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Solution

The fourth proportional to 296,415.94, 444,625.02 and 71,776 is: 107,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,415.94 : 444,625.02 = 71,776 : x
  2. Step 2: Convert to fraction form
    296,415.94/444,625.02 = 71,776/x
  3. Step 3: Cross multiply
    296,415.94x = 444,625.02 × 71,776
  4. Step 4: Simplify right side
    296,415.94x = 31,913,405,435.52
  5. Step 5: Solve for x
    x = 31,913,405,435.52/296,415.94
  6. Step 6: Final answer
    x = 107,664.27

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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.