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Finding the Fourth Proportional to 353,215.86, 487,423.05 and 200,264.34

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Solution

The fourth proportional to 353,215.86, 487,423.05 and 200,264.34 is: 276,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,215.86 : 487,423.05 = 200,264.34 : x
  2. Step 2: Convert to fraction form
    353,215.86/487,423.05 = 200,264.34/x
  3. Step 3: Cross multiply
    353,215.86x = 487,423.05 × 200,264.34
  4. Step 4: Simplify right side
    353,215.86x = 97,613,455,409.04
  5. Step 5: Solve for x
    x = 97,613,455,409.04/353,215.86
  6. Step 6: Final answer
    x = 276,356.38

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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.