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Finding the Fourth Proportional to 430,661.27, 645,992.15 and 193,727.16

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Solution

The fourth proportional to 430,661.27, 645,992.15 and 193,727.16 is: 290,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,661.27 : 645,992.15 = 193,727.16 : x
  2. Step 2: Convert to fraction form
    430,661.27/645,992.15 = 193,727.16/x
  3. Step 3: Cross multiply
    430,661.27x = 645,992.15 × 193,727.16
  4. Step 4: Simplify right side
    430,661.27x = 125,146,223,633.16
  5. Step 5: Solve for x
    x = 125,146,223,633.16/430,661.27
  6. Step 6: Final answer
    x = 290,590.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.