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Finding the Fourth Proportional to 358,396.95, 536,708.43 and 208,181.64

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Solution

The fourth proportional to 358,396.95, 536,708.43 and 208,181.64 is: 311,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,396.95 : 536,708.43 = 208,181.64 : x
  2. Step 2: Convert to fraction form
    358,396.95/536,708.43 = 208,181.64/x
  3. Step 3: Cross multiply
    358,396.95x = 536,708.43 × 208,181.64
  4. Step 4: Simplify right side
    358,396.95x = 111,732,841,159.23
  5. Step 5: Solve for x
    x = 111,732,841,159.23/358,396.95
  6. Step 6: Final answer
    x = 311,757.23

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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.