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Finding the Fourth Proportional to 358,873.11, 537,801.86 and 199,019.35

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Solution

The fourth proportional to 358,873.11, 537,801.86 and 199,019.35 is: 298,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,873.11 : 537,801.86 = 199,019.35 : x
  2. Step 2: Convert to fraction form
    358,873.11/537,801.86 = 199,019.35/x
  3. Step 3: Cross multiply
    358,873.11x = 537,801.86 × 199,019.35
  4. Step 4: Simplify right side
    358,873.11x = 107,032,977,775.79
  5. Step 5: Solve for x
    x = 107,032,977,775.79/358,873.11
  6. Step 6: Final answer
    x = 298,247.42

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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.