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Finding the Fourth Proportional to 676,529.88, 1,014,794.82 and 177,855

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Solution

The fourth proportional to 676,529.88, 1,014,794.82 and 177,855 is: 266,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,529.88 : 1,014,794.82 = 177,855 : x
  2. Step 2: Convert to fraction form
    676,529.88/1,014,794.82 = 177,855/x
  3. Step 3: Cross multiply
    676,529.88x = 1,014,794.82 × 177,855
  4. Step 4: Simplify right side
    676,529.88x = 180,486,332,711.10
  5. Step 5: Solve for x
    x = 180,486,332,711.10/676,529.88
  6. Step 6: Final answer
    x = 266,782.50

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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.