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Finding the Fourth Proportional to 358,407.16, 536,723.78 and 208,191.85

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Solution

The fourth proportional to 358,407.16, 536,723.78 and 208,191.85 is: 311,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,407.16 : 536,723.78 = 208,191.85 : x
  2. Step 2: Convert to fraction form
    358,407.16/536,723.78 = 208,191.85/x
  3. Step 3: Cross multiply
    358,407.16x = 536,723.78 × 208,191.85
  4. Step 4: Simplify right side
    358,407.16x = 111,741,516,697.19
  5. Step 5: Solve for x
    x = 111,741,516,697.19/358,407.16
  6. Step 6: Final answer
    x = 311,772.56

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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.