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Finding the Fourth Proportional to 366,967.64, 506,385.42 and 205,800.68

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Solution

The fourth proportional to 366,967.64, 506,385.42 and 205,800.68 is: 283,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,967.64 : 506,385.42 = 205,800.68 : x
  2. Step 2: Convert to fraction form
    366,967.64/506,385.42 = 205,800.68/x
  3. Step 3: Cross multiply
    366,967.64x = 506,385.42 × 205,800.68
  4. Step 4: Simplify right side
    366,967.64x = 104,214,463,778.09
  5. Step 5: Solve for x
    x = 104,214,463,778.09/366,967.64
  6. Step 6: Final answer
    x = 283,988.16

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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.