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Finding the Fourth Proportional to 365,140.97, 503,904.81 and 204,013.76

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Solution

The fourth proportional to 365,140.97, 503,904.81 and 204,013.76 is: 281,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,140.97 : 503,904.81 = 204,013.76 : x
  2. Step 2: Convert to fraction form
    365,140.97/503,904.81 = 204,013.76/x
  3. Step 3: Cross multiply
    365,140.97x = 503,904.81 × 204,013.76
  4. Step 4: Simplify right side
    365,140.97x = 102,803,514,970.19
  5. Step 5: Solve for x
    x = 102,803,514,970.19/365,140.97
  6. Step 6: Final answer
    x = 281,544.73

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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.