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Finding the Fourth Proportional to 369,262.80, 509,582.54 and 199,496.93

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Solution

The fourth proportional to 369,262.80, 509,582.54 and 199,496.93 is: 275,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,262.80 : 509,582.54 = 199,496.93 : x
  2. Step 2: Convert to fraction form
    369,262.80/509,582.54 = 199,496.93/x
  3. Step 3: Cross multiply
    369,262.80x = 509,582.54 × 199,496.93
  4. Step 4: Simplify right side
    369,262.80x = 101,660,150,262.43
  5. Step 5: Solve for x
    x = 101,660,150,262.43/369,262.80
  6. Step 6: Final answer
    x = 275,305.69

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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.