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Finding the Fourth Proportional to 217,963.20, 326,944.80 and 194,462.40

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Solution

The fourth proportional to 217,963.20, 326,944.80 and 194,462.40 is: 291,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,963.20 : 326,944.80 = 194,462.40 : x
  2. Step 2: Convert to fraction form
    217,963.20/326,944.80 = 194,462.40/x
  3. Step 3: Cross multiply
    217,963.20x = 326,944.80 × 194,462.40
  4. Step 4: Simplify right side
    217,963.20x = 63,578,470,475.52
  5. Step 5: Solve for x
    x = 63,578,470,475.52/217,963.20
  6. Step 6: Final answer
    x = 291,693.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.