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Finding the Fourth Proportional to 513,712.72, 770,377.38 and 176,657.86

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Solution

The fourth proportional to 513,712.72, 770,377.38 and 176,657.86 is: 264,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,712.72 : 770,377.38 = 176,657.86 : x
  2. Step 2: Convert to fraction form
    513,712.72/770,377.38 = 176,657.86/x
  3. Step 3: Cross multiply
    513,712.72x = 770,377.38 × 176,657.86
  4. Step 4: Simplify right side
    513,712.72x = 136,093,219,343.21
  5. Step 5: Solve for x
    x = 136,093,219,343.21/513,712.72
  6. Step 6: Final answer
    x = 264,920.87

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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.