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Finding the Fourth Proportional to 566,829.38, 782,166.66 and 349,003.46

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Solution

The fourth proportional to 566,829.38, 782,166.66 and 349,003.46 is: 481,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,829.38 : 782,166.66 = 349,003.46 : x
  2. Step 2: Convert to fraction form
    566,829.38/782,166.66 = 349,003.46/x
  3. Step 3: Cross multiply
    566,829.38x = 782,166.66 × 349,003.46
  4. Step 4: Simplify right side
    566,829.38x = 272,978,870,636.64
  5. Step 5: Solve for x
    x = 272,978,870,636.64/566,829.38
  6. Step 6: Final answer
    x = 481,589.13

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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.