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Finding the Fourth Proportional to 295,328, 442,995.24 and 73,712

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Solution

The fourth proportional to 295,328, 442,995.24 and 73,712 is: 110,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,328 : 442,995.24 = 73,712 : x
  2. Step 2: Convert to fraction form
    295,328/442,995.24 = 73,712/x
  3. Step 3: Cross multiply
    295,328x = 442,995.24 × 73,712
  4. Step 4: Simplify right side
    295,328x = 32,654,065,130.88
  5. Step 5: Solve for x
    x = 32,654,065,130.88/295,328
  6. Step 6: Final answer
    x = 110,568.81

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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.