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Finding the Fourth Proportional to 358,875.74, 537,805.80 and 199,021.98

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Solution

The fourth proportional to 358,875.74, 537,805.80 and 199,021.98 is: 298,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,875.74 : 537,805.80 = 199,021.98 : x
  2. Step 2: Convert to fraction form
    358,875.74/537,805.80 = 199,021.98/x
  3. Step 3: Cross multiply
    358,875.74x = 537,805.80 × 199,021.98
  4. Step 4: Simplify right side
    358,875.74x = 107,035,175,171.48
  5. Step 5: Solve for x
    x = 107,035,175,171.48/358,875.74
  6. Step 6: Final answer
    x = 298,251.36

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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.