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Finding the Fourth Proportional to 357,857.10, 493,854.12 and 204,895.98

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Solution

The fourth proportional to 357,857.10, 493,854.12 and 204,895.98 is: 282,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,857.10 : 493,854.12 = 204,895.98 : x
  2. Step 2: Convert to fraction form
    357,857.10/493,854.12 = 204,895.98/x
  3. Step 3: Cross multiply
    357,857.10x = 493,854.12 × 204,895.98
  4. Step 4: Simplify right side
    357,857.10x = 101,188,723,894.44
  5. Step 5: Solve for x
    x = 101,188,723,894.44/357,857.10
  6. Step 6: Final answer
    x = 282,762.93

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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.