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Finding the Fourth Proportional to 353,551.15, 487,911.65 and 200,595.78

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Solution

The fourth proportional to 353,551.15, 487,911.65 and 200,595.78 is: 276,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,551.15 : 487,911.65 = 200,595.78 : x
  2. Step 2: Convert to fraction form
    353,551.15/487,911.65 = 200,595.78/x
  3. Step 3: Cross multiply
    353,551.15x = 487,911.65 × 200,595.78
  4. Step 4: Simplify right side
    353,551.15x = 97,873,014,560.30
  5. Step 5: Solve for x
    x = 97,873,014,560.30/353,551.15
  6. Step 6: Final answer
    x = 276,828.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.