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Finding the Fourth Proportional to 366,966.49, 506,415.55 and 205,830.15

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Solution

The fourth proportional to 366,966.49, 506,415.55 and 205,830.15 is: 284,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,966.49 : 506,415.55 = 205,830.15 : x
  2. Step 2: Convert to fraction form
    366,966.49/506,415.55 = 205,830.15/x
  3. Step 3: Cross multiply
    366,966.49x = 506,415.55 × 205,830.15
  4. Step 4: Simplify right side
    366,966.49x = 104,235,588,618.83
  5. Step 5: Solve for x
    x = 104,235,588,618.83/366,966.49
  6. Step 6: Final answer
    x = 284,046.61

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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.