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Finding the Fourth Proportional to 295,540.65, 407,856.16 and 174,785.45

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Solution

The fourth proportional to 295,540.65, 407,856.16 and 174,785.45 is: 241,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,540.65 : 407,856.16 = 174,785.45 : x
  2. Step 2: Convert to fraction form
    295,540.65/407,856.16 = 174,785.45/x
  3. Step 3: Cross multiply
    295,540.65x = 407,856.16 × 174,785.45
  4. Step 4: Simplify right side
    295,540.65x = 71,287,320,640.07
  5. Step 5: Solve for x
    x = 71,287,320,640.07/295,540.65
  6. Step 6: Final answer
    x = 241,209.87

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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.