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Finding the Fourth Proportional to 379,349.76, 523,508.16 and 209,587.80

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Solution

The fourth proportional to 379,349.76, 523,508.16 and 209,587.80 is: 289,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,349.76 : 523,508.16 = 209,587.80 : x
  2. Step 2: Convert to fraction form
    379,349.76/523,508.16 = 209,587.80/x
  3. Step 3: Cross multiply
    379,349.76x = 523,508.16 × 209,587.80
  4. Step 4: Simplify right side
    379,349.76x = 109,720,923,536.45
  5. Step 5: Solve for x
    x = 109,720,923,536.45/379,349.76
  6. Step 6: Final answer
    x = 289,234.20

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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.