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Finding the Fourth Proportional to 358,002.32, 536,975.24 and 208,147

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Solution

The fourth proportional to 358,002.32, 536,975.24 and 208,147 is: 312,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,002.32 : 536,975.24 = 208,147 : x
  2. Step 2: Convert to fraction form
    358,002.32/536,975.24 = 208,147/x
  3. Step 3: Cross multiply
    358,002.32x = 536,975.24 × 208,147
  4. Step 4: Simplify right side
    358,002.32x = 111,769,785,280.28
  5. Step 5: Solve for x
    x = 111,769,785,280.28/358,002.32
  6. Step 6: Final answer
    x = 312,204.08

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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.