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Finding the Fourth Proportional to 364,565.65, 503,062.41 and 201,219.15

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Solution

The fourth proportional to 364,565.65, 503,062.41 and 201,219.15 is: 277,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,565.65 : 503,062.41 = 201,219.15 : x
  2. Step 2: Convert to fraction form
    364,565.65/503,062.41 = 201,219.15/x
  3. Step 3: Cross multiply
    364,565.65x = 503,062.41 × 201,219.15
  4. Step 4: Simplify right side
    364,565.65x = 101,225,790,537.15
  5. Step 5: Solve for x
    x = 101,225,790,537.15/364,565.65
  6. Step 6: Final answer
    x = 277,661.35

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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.