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Finding the Fourth Proportional to 501,807.94, 692,505.25 and 284,016.61

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Solution

The fourth proportional to 501,807.94, 692,505.25 and 284,016.61 is: 391,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,807.94 : 692,505.25 = 284,016.61 : x
  2. Step 2: Convert to fraction form
    501,807.94/692,505.25 = 284,016.61/x
  3. Step 3: Cross multiply
    501,807.94x = 692,505.25 × 284,016.61
  4. Step 4: Simplify right side
    501,807.94x = 196,682,992,802.16
  5. Step 5: Solve for x
    x = 196,682,992,802.16/501,807.94
  6. Step 6: Final answer
    x = 391,948.75

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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.