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Finding the Fourth Proportional to 369,236.76, 509,667.84 and 224,049.12

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Solution

The fourth proportional to 369,236.76, 509,667.84 and 224,049.12 is: 309,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,236.76 : 509,667.84 = 224,049.12 : x
  2. Step 2: Convert to fraction form
    369,236.76/509,667.84 = 224,049.12/x
  3. Step 3: Cross multiply
    369,236.76x = 509,667.84 × 224,049.12
  4. Step 4: Simplify right side
    369,236.76x = 114,190,631,044.30
  5. Step 5: Solve for x
    x = 114,190,631,044.30/369,236.76
  6. Step 6: Final answer
    x = 309,261.27

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Double scale
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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.