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Finding the Fourth Proportional to 517,722.45, 775,929.33 and 233,109.92

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Solution

The fourth proportional to 517,722.45, 775,929.33 and 233,109.92 is: 349,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,722.45 : 775,929.33 = 233,109.92 : x
  2. Step 2: Convert to fraction form
    517,722.45/775,929.33 = 233,109.92/x
  3. Step 3: Cross multiply
    517,722.45x = 775,929.33 × 233,109.92
  4. Step 4: Simplify right side
    517,722.45x = 180,876,820,162.31
  5. Step 5: Solve for x
    x = 180,876,820,162.31/517,722.45
  6. Step 6: Final answer
    x = 349,370.25

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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.