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Finding the Fourth Proportional to 256,008.64, 384,345.60 and 196,886.20

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Solution

The fourth proportional to 256,008.64, 384,345.60 and 196,886.20 is: 295,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,008.64 : 384,345.60 = 196,886.20 : x
  2. Step 2: Convert to fraction form
    256,008.64/384,345.60 = 196,886.20/x
  3. Step 3: Cross multiply
    256,008.64x = 384,345.60 × 196,886.20
  4. Step 4: Simplify right side
    256,008.64x = 75,672,344,670.72
  5. Step 5: Solve for x
    x = 75,672,344,670.72/256,008.64
  6. Step 6: Final answer
    x = 295,585.12

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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.