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Finding the Fourth Proportional to 365,724.38, 504,801.10 and 212,792.11

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Solution

The fourth proportional to 365,724.38, 504,801.10 and 212,792.11 is: 293,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,724.38 : 504,801.10 = 212,792.11 : x
  2. Step 2: Convert to fraction form
    365,724.38/504,801.10 = 212,792.11/x
  3. Step 3: Cross multiply
    365,724.38x = 504,801.10 × 212,792.11
  4. Step 4: Simplify right side
    365,724.38x = 107,417,691,845.86
  5. Step 5: Solve for x
    x = 107,417,691,845.86/365,724.38
  6. Step 6: Final answer
    x = 293,712.14

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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.