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Finding the Fourth Proportional to 295,798.83, 408,285.95 and 174,982.07

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Solution

The fourth proportional to 295,798.83, 408,285.95 and 174,982.07 is: 241,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,798.83 : 408,285.95 = 174,982.07 : x
  2. Step 2: Convert to fraction form
    295,798.83/408,285.95 = 174,982.07/x
  3. Step 3: Cross multiply
    295,798.83x = 408,285.95 × 174,982.07
  4. Step 4: Simplify right side
    295,798.83x = 71,442,717,766.58
  5. Step 5: Solve for x
    x = 71,442,717,766.58/295,798.83
  6. Step 6: Final answer
    x = 241,524.68

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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.