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Finding the Fourth Proportional to 367,078.84, 506,569.95 and 205,934.00

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Solution

The fourth proportional to 367,078.84, 506,569.95 and 205,934.00 is: 284,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,078.84 : 506,569.95 = 205,934.00 : x
  2. Step 2: Convert to fraction form
    367,078.84/506,569.95 = 205,934.00/x
  3. Step 3: Cross multiply
    367,078.84x = 506,569.95 × 205,934.00
  4. Step 4: Simplify right side
    367,078.84x = 104,319,973,550.45
  5. Step 5: Solve for x
    x = 104,319,973,550.45/367,078.84
  6. Step 6: Final answer
    x = 284,189.56

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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.