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Finding the Fourth Proportional to 513,891.36, 770,645.52 and 176,837.76

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Solution

The fourth proportional to 513,891.36, 770,645.52 and 176,837.76 is: 265,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,891.36 : 770,645.52 = 176,837.76 : x
  2. Step 2: Convert to fraction form
    513,891.36/770,645.52 = 176,837.76/x
  3. Step 3: Cross multiply
    513,891.36x = 770,645.52 × 176,837.76
  4. Step 4: Simplify right side
    513,891.36x = 136,279,227,510.84
  5. Step 5: Solve for x
    x = 136,279,227,510.84/513,891.36
  6. Step 6: Final answer
    x = 265,190.74

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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.