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Finding the Fourth Proportional to 369,097.20, 553,645.80 and 200,698.20

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Solution

The fourth proportional to 369,097.20, 553,645.80 and 200,698.20 is: 301,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,097.20 : 553,645.80 = 200,698.20 : x
  2. Step 2: Convert to fraction form
    369,097.20/553,645.80 = 200,698.20/x
  3. Step 3: Cross multiply
    369,097.20x = 553,645.80 × 200,698.20
  4. Step 4: Simplify right side
    369,097.20x = 111,115,715,497.56
  5. Step 5: Solve for x
    x = 111,115,715,497.56/369,097.20
  6. Step 6: Final answer
    x = 301,047.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.