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Finding the Fourth Proportional to 295,767.15, 408,355.73 and 174,947.24

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Solution

The fourth proportional to 295,767.15, 408,355.73 and 174,947.24 is: 241,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,767.15 : 408,355.73 = 174,947.24 : x
  2. Step 2: Convert to fraction form
    295,767.15/408,355.73 = 174,947.24/x
  3. Step 3: Cross multiply
    295,767.15x = 408,355.73 × 174,947.24
  4. Step 4: Simplify right side
    295,767.15x = 71,440,708,703.89
  5. Step 5: Solve for x
    x = 71,440,708,703.89/295,767.15
  6. Step 6: Final answer
    x = 241,543.76

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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.