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Finding the Fourth Proportional to 563,744.81, 845,600.82 and 208,750.97

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Solution

The fourth proportional to 563,744.81, 845,600.82 and 208,750.97 is: 313,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,744.81 : 845,600.82 = 208,750.97 : x
  2. Step 2: Convert to fraction form
    563,744.81/845,600.82 = 208,750.97/x
  3. Step 3: Cross multiply
    563,744.81x = 845,600.82 × 208,750.97
  4. Step 4: Simplify right side
    563,744.81x = 176,519,992,738.98
  5. Step 5: Solve for x
    x = 176,519,992,738.98/563,744.81
  6. Step 6: Final answer
    x = 313,120.39

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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.