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Finding the Fourth Proportional to 358,461.88, 494,619.51 and 205,471.92

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Solution

The fourth proportional to 358,461.88, 494,619.51 and 205,471.92 is: 283,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,461.88 : 494,619.51 = 205,471.92 : x
  2. Step 2: Convert to fraction form
    358,461.88/494,619.51 = 205,471.92/x
  3. Step 3: Cross multiply
    358,461.88x = 494,619.51 × 205,471.92
  4. Step 4: Simplify right side
    358,461.88x = 101,630,420,389.16
  5. Step 5: Solve for x
    x = 101,630,420,389.16/358,461.88
  6. Step 6: Final answer
    x = 283,518.07

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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.