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Finding the Fourth Proportional to 256,827.61, 354,760.75 and 197,135.87

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Solution

The fourth proportional to 256,827.61, 354,760.75 and 197,135.87 is: 272,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,827.61 : 354,760.75 = 197,135.87 : x
  2. Step 2: Convert to fraction form
    256,827.61/354,760.75 = 197,135.87/x
  3. Step 3: Cross multiply
    256,827.61x = 354,760.75 × 197,135.87
  4. Step 4: Simplify right side
    256,827.61x = 69,936,068,107.42
  5. Step 5: Solve for x
    x = 69,936,068,107.42/256,827.61
  6. Step 6: Final answer
    x = 272,307.44

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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.