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Finding the Fourth Proportional to 369,094.38, 509,350.20 and 199,328.46

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Solution

The fourth proportional to 369,094.38, 509,350.20 and 199,328.46 is: 275,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,094.38 : 509,350.20 = 199,328.46 : x
  2. Step 2: Convert to fraction form
    369,094.38/509,350.20 = 199,328.46/x
  3. Step 3: Cross multiply
    369,094.38x = 509,350.20 × 199,328.46
  4. Step 4: Simplify right side
    369,094.38x = 101,527,990,966.69
  5. Step 5: Solve for x
    x = 101,527,990,966.69/369,094.38
  6. Step 6: Final answer
    x = 275,073.25

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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.