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Finding the Fourth Proportional to 365,094.14, 503,827.52 and 203,947.77

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Solution

The fourth proportional to 365,094.14, 503,827.52 and 203,947.77 is: 281,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,094.14 : 503,827.52 = 203,947.77 : x
  2. Step 2: Convert to fraction form
    365,094.14/503,827.52 = 203,947.77/x
  3. Step 3: Cross multiply
    365,094.14x = 503,827.52 × 203,947.77
  4. Step 4: Simplify right side
    365,094.14x = 102,754,498,148.89
  5. Step 5: Solve for x
    x = 102,754,498,148.89/365,094.14
  6. Step 6: Final answer
    x = 281,446.59

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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.