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Finding the Fourth Proportional to 295,043.52, 407,155.68 and 165,972.24

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Solution

The fourth proportional to 295,043.52, 407,155.68 and 165,972.24 is: 229,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,043.52 : 407,155.68 = 165,972.24 : x
  2. Step 2: Convert to fraction form
    295,043.52/407,155.68 = 165,972.24/x
  3. Step 3: Cross multiply
    295,043.52x = 407,155.68 × 165,972.24
  4. Step 4: Simplify right side
    295,043.52x = 67,576,540,238.32
  5. Step 5: Solve for x
    x = 67,576,540,238.32/295,043.52
  6. Step 6: Final answer
    x = 229,039.23

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1.5x scale

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.