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Finding the Fourth Proportional to 357,866.52, 493,784.82 and 204,953.28

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Solution

The fourth proportional to 357,866.52, 493,784.82 and 204,953.28 is: 282,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,866.52 : 493,784.82 = 204,953.28 : x
  2. Step 2: Convert to fraction form
    357,866.52/493,784.82 = 204,953.28/x
  3. Step 3: Cross multiply
    357,866.52x = 493,784.82 × 204,953.28
  4. Step 4: Simplify right side
    357,866.52x = 101,202,818,473.21
  5. Step 5: Solve for x
    x = 101,202,818,473.21/357,866.52
  6. Step 6: Final answer
    x = 282,794.88

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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.