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Finding the Fourth Proportional to 296,411.94, 444,619.02 and 71,772

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Solution

The fourth proportional to 296,411.94, 444,619.02 and 71,772 is: 107,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,411.94 : 444,619.02 = 71,772 : x
  2. Step 2: Convert to fraction form
    296,411.94/444,619.02 = 71,772/x
  3. Step 3: Cross multiply
    296,411.94x = 444,619.02 × 71,772
  4. Step 4: Simplify right side
    296,411.94x = 31,911,196,303.44
  5. Step 5: Solve for x
    x = 31,911,196,303.44/296,411.94
  6. Step 6: Final answer
    x = 107,658.27

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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.