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Finding the Fourth Proportional to 295,029.09, 407,079.14 and 172,497.87

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Solution

The fourth proportional to 295,029.09, 407,079.14 and 172,497.87 is: 238,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,029.09 : 407,079.14 = 172,497.87 : x
  2. Step 2: Convert to fraction form
    295,029.09/407,079.14 = 172,497.87/x
  3. Step 3: Cross multiply
    295,029.09x = 407,079.14 × 172,497.87
  4. Step 4: Simplify right side
    295,029.09x = 70,220,283,708.94
  5. Step 5: Solve for x
    x = 70,220,283,708.94/295,029.09
  6. Step 6: Final answer
    x = 238,011.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.