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Finding the Fourth Proportional to 365,146.91, 503,816.38 and 212,094.16

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Solution

The fourth proportional to 365,146.91, 503,816.38 and 212,094.16 is: 292,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,146.91 : 503,816.38 = 212,094.16 : x
  2. Step 2: Convert to fraction form
    365,146.91/503,816.38 = 212,094.16/x
  3. Step 3: Cross multiply
    365,146.91x = 503,816.38 × 212,094.16
  4. Step 4: Simplify right side
    365,146.91x = 106,856,511,425.57
  5. Step 5: Solve for x
    x = 106,856,511,425.57/365,146.91
  6. Step 6: Final answer
    x = 292,639.78

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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.