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Finding the Fourth Proportional to 357,897.56, 493,845.12 and 204,911.60

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Solution

The fourth proportional to 357,897.56, 493,845.12 and 204,911.60 is: 282,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,897.56 : 493,845.12 = 204,911.60 : x
  2. Step 2: Convert to fraction form
    357,897.56/493,845.12 = 204,911.60/x
  3. Step 3: Cross multiply
    357,897.56x = 493,845.12 × 204,911.60
  4. Step 4: Simplify right side
    357,897.56x = 101,194,593,691.39
  5. Step 5: Solve for x
    x = 101,194,593,691.39/357,897.56
  6. Step 6: Final answer
    x = 282,747.37

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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.