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Finding the Fourth Proportional to 505,307.88, 697,282.97 and 287,458.58

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Solution

The fourth proportional to 505,307.88, 697,282.97 and 287,458.58 is: 396,669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,307.88 : 697,282.97 = 287,458.58 : x
  2. Step 2: Convert to fraction form
    505,307.88/697,282.97 = 287,458.58/x
  3. Step 3: Cross multiply
    505,307.88x = 697,282.97 × 287,458.58
  4. Step 4: Simplify right side
    505,307.88x = 200,439,972,414.38
  5. Step 5: Solve for x
    x = 200,439,972,414.38/505,307.88
  6. Step 6: Final answer
    x = 396,669.00

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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.