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Finding the Fourth Proportional to 357,856.43, 493,842.88 and 204,896.98

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Solution

The fourth proportional to 357,856.43, 493,842.88 and 204,896.98 is: 282,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,856.43 : 493,842.88 = 204,896.98 : x
  2. Step 2: Convert to fraction form
    357,856.43/493,842.88 = 204,896.98/x
  3. Step 3: Cross multiply
    357,856.43x = 493,842.88 × 204,896.98
  4. Step 4: Simplify right side
    357,856.43x = 101,186,911,649.52
  5. Step 5: Solve for x
    x = 101,186,911,649.52/357,856.43
  6. Step 6: Final answer
    x = 282,758.40

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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.