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Finding the Fourth Proportional to 366,911.92, 506,303.36 and 205,730

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Solution

The fourth proportional to 366,911.92, 506,303.36 and 205,730 is: 283,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,911.92 : 506,303.36 = 205,730 : x
  2. Step 2: Convert to fraction form
    366,911.92/506,303.36 = 205,730/x
  3. Step 3: Cross multiply
    366,911.92x = 506,303.36 × 205,730
  4. Step 4: Simplify right side
    366,911.92x = 104,161,790,252.80
  5. Step 5: Solve for x
    x = 104,161,790,252.80/366,911.92
  6. Step 6: Final answer
    x = 283,887.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.