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Finding the Fourth Proportional to 369,191.36, 509,484.30 and 199,425.56

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Solution

The fourth proportional to 369,191.36, 509,484.30 and 199,425.56 is: 275,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,191.36 : 509,484.30 = 199,425.56 : x
  2. Step 2: Convert to fraction form
    369,191.36/509,484.30 = 199,425.56/x
  3. Step 3: Cross multiply
    369,191.36x = 509,484.30 × 199,425.56
  4. Step 4: Simplify right side
    369,191.36x = 101,604,191,838.71
  5. Step 5: Solve for x
    x = 101,604,191,838.71/369,191.36
  6. Step 6: Final answer
    x = 275,207.39

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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.