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Finding the Fourth Proportional to 295,762.59, 408,167.10 and 174,974.58

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Solution

The fourth proportional to 295,762.59, 408,167.10 and 174,974.58 is: 241,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,762.59 : 408,167.10 = 174,974.58 : x
  2. Step 2: Convert to fraction form
    295,762.59/408,167.10 = 174,974.58/x
  3. Step 3: Cross multiply
    295,762.59x = 408,167.10 × 174,974.58
  4. Step 4: Simplify right side
    295,762.59x = 71,418,866,892.32
  5. Step 5: Solve for x
    x = 71,418,866,892.32/295,762.59
  6. Step 6: Final answer
    x = 241,473.63

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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.