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Finding the Fourth Proportional to 365,149.86, 503,897.52 and 204,006.12

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Solution

The fourth proportional to 365,149.86, 503,897.52 and 204,006.12 is: 281,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,149.86 : 503,897.52 = 204,006.12 : x
  2. Step 2: Convert to fraction form
    365,149.86/503,897.52 = 204,006.12/x
  3. Step 3: Cross multiply
    365,149.86x = 503,897.52 × 204,006.12
  4. Step 4: Simplify right side
    365,149.86x = 102,798,174,903.32
  5. Step 5: Solve for x
    x = 102,798,174,903.32/365,149.86
  6. Step 6: Final answer
    x = 281,523.25

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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.