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Finding the Fourth Proportional to 295,175.41, 442,978.17 and 117,733.16

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Solution

The fourth proportional to 295,175.41, 442,978.17 and 117,733.16 is: 176,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,175.41 : 442,978.17 = 117,733.16 : x
  2. Step 2: Convert to fraction form
    295,175.41/442,978.17 = 117,733.16/x
  3. Step 3: Cross multiply
    295,175.41x = 442,978.17 × 117,733.16
  4. Step 4: Simplify right side
    295,175.41x = 52,153,220,431.06
  5. Step 5: Solve for x
    x = 52,153,220,431.06/295,175.41
  6. Step 6: Final answer
    x = 176,685.52

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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.