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Finding the Fourth Proportional to 315,692.86, 473,656.94 and 189,423.73

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Solution

The fourth proportional to 315,692.86, 473,656.94 and 189,423.73 is: 284,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,692.86 : 473,656.94 = 189,423.73 : x
  2. Step 2: Convert to fraction form
    315,692.86/473,656.94 = 189,423.73/x
  3. Step 3: Cross multiply
    315,692.86x = 473,656.94 × 189,423.73
  4. Step 4: Simplify right side
    315,692.86x = 89,721,864,552.21
  5. Step 5: Solve for x
    x = 89,721,864,552.21/315,692.86
  6. Step 6: Final answer
    x = 284,206.19

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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.