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Finding the Fourth Proportional to 291,269.14, 401,925.80 and 162,197.86

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Solution

The fourth proportional to 291,269.14, 401,925.80 and 162,197.86 is: 223,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,269.14 : 401,925.80 = 162,197.86 : x
  2. Step 2: Convert to fraction form
    291,269.14/401,925.80 = 162,197.86/x
  3. Step 3: Cross multiply
    291,269.14x = 401,925.80 × 162,197.86
  4. Step 4: Simplify right side
    291,269.14x = 65,191,505,044.28
  5. Step 5: Solve for x
    x = 65,191,505,044.28/291,269.14
  6. Step 6: Final answer
    x = 223,818.79

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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.