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Finding the Fourth Proportional to 256,590.20, 385,274.10 and 197,492.60

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Solution

The fourth proportional to 256,590.20, 385,274.10 and 197,492.60 is: 296,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,590.20 : 385,274.10 = 197,492.60 : x
  2. Step 2: Convert to fraction form
    256,590.20/385,274.10 = 197,492.60/x
  3. Step 3: Cross multiply
    256,590.20x = 385,274.10 × 197,492.60
  4. Step 4: Simplify right side
    256,590.20x = 76,088,783,721.66
  5. Step 5: Solve for x
    x = 76,088,783,721.66/256,590.20
  6. Step 6: Final answer
    x = 296,538.15

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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.