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Finding the Fourth Proportional to 524,494.83, 723,917.49 and 333,470.91

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Solution

The fourth proportional to 524,494.83, 723,917.49 and 333,470.91 is: 460,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,494.83 : 723,917.49 = 333,470.91 : x
  2. Step 2: Convert to fraction form
    524,494.83/723,917.49 = 333,470.91/x
  3. Step 3: Cross multiply
    524,494.83x = 723,917.49 × 333,470.91
  4. Step 4: Simplify right side
    524,494.83x = 241,405,424,155.22
  5. Step 5: Solve for x
    x = 241,405,424,155.22/524,494.83
  6. Step 6: Final answer
    x = 460,262.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.