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Finding the Fourth Proportional to 523,717.82, 723,006.77 and 352,535.79

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Solution

The fourth proportional to 523,717.82, 723,006.77 and 352,535.79 is: 486,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,717.82 : 723,006.77 = 352,535.79 : x
  2. Step 2: Convert to fraction form
    523,717.82/723,006.77 = 352,535.79/x
  3. Step 3: Cross multiply
    523,717.82x = 723,006.77 × 352,535.79
  4. Step 4: Simplify right side
    523,717.82x = 254,885,762,837.30
  5. Step 5: Solve for x
    x = 254,885,762,837.30/523,717.82
  6. Step 6: Final answer
    x = 486,685.30

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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.