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Finding the Fourth Proportional to 353,142.10, 529,713.15 and 200,926.90

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Solution

The fourth proportional to 353,142.10, 529,713.15 and 200,926.90 is: 301,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,142.10 : 529,713.15 = 200,926.90 : x
  2. Step 2: Convert to fraction form
    353,142.10/529,713.15 = 200,926.90/x
  3. Step 3: Cross multiply
    353,142.10x = 529,713.15 × 200,926.90
  4. Step 4: Simplify right side
    353,142.10x = 106,433,621,118.74
  5. Step 5: Solve for x
    x = 106,433,621,118.74/353,142.10
  6. Step 6: Final answer
    x = 301,390.35

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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.