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Finding the Fourth Proportional to 430,441.38, 594,734.85 and 309,341.72

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Solution

The fourth proportional to 430,441.38, 594,734.85 and 309,341.72 is: 427,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,441.38 : 594,734.85 = 309,341.72 : x
  2. Step 2: Convert to fraction form
    430,441.38/594,734.85 = 309,341.72/x
  3. Step 3: Cross multiply
    430,441.38x = 594,734.85 × 309,341.72
  4. Step 4: Simplify right side
    430,441.38x = 183,976,298,469.27
  5. Step 5: Solve for x
    x = 183,976,298,469.27/430,441.38
  6. Step 6: Final answer
    x = 427,413.13

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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.