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Finding the Fourth Proportional to 295,790.07, 408,043.38 and 174,872.46

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Solution

The fourth proportional to 295,790.07, 408,043.38 and 174,872.46 is: 241,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,790.07 : 408,043.38 = 174,872.46 : x
  2. Step 2: Convert to fraction form
    295,790.07/408,043.38 = 174,872.46/x
  3. Step 3: Cross multiply
    295,790.07x = 408,043.38 × 174,872.46
  4. Step 4: Simplify right side
    295,790.07x = 71,355,549,647.31
  5. Step 5: Solve for x
    x = 71,355,549,647.31/295,790.07
  6. Step 6: Final answer
    x = 241,237.14

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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.