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Finding the Fourth Proportional to 356,293.78, 491,693.38 and 203,328.92

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Solution

The fourth proportional to 356,293.78, 491,693.38 and 203,328.92 is: 280,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,293.78 : 491,693.38 = 203,328.92 : x
  2. Step 2: Convert to fraction form
    356,293.78/491,693.38 = 203,328.92/x
  3. Step 3: Cross multiply
    356,293.78x = 491,693.38 × 203,328.92
  4. Step 4: Simplify right side
    356,293.78x = 99,975,483,926.55
  5. Step 5: Solve for x
    x = 99,975,483,926.55/356,293.78
  6. Step 6: Final answer
    x = 280,598.45

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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.