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Finding the Fourth Proportional to 366,965.64, 506,382.66 and 205,798.68

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Solution

The fourth proportional to 366,965.64, 506,382.66 and 205,798.68 is: 283,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,965.64 : 506,382.66 = 205,798.68 : x
  2. Step 2: Convert to fraction form
    366,965.64/506,382.66 = 205,798.68/x
  3. Step 3: Cross multiply
    366,965.64x = 506,382.66 × 205,798.68
  4. Step 4: Simplify right side
    366,965.64x = 104,212,883,002.89
  5. Step 5: Solve for x
    x = 104,212,883,002.89/366,965.64
  6. Step 6: Final answer
    x = 283,985.40

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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.