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Finding the Fourth Proportional to 501,797.46, 692,490.79 and 284,006.13

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Solution

The fourth proportional to 501,797.46, 692,490.79 and 284,006.13 is: 391,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,797.46 : 692,490.79 = 284,006.13 : x
  2. Step 2: Convert to fraction form
    501,797.46/692,490.79 = 284,006.13/x
  3. Step 3: Cross multiply
    501,797.46x = 692,490.79 × 284,006.13
  4. Step 4: Simplify right side
    501,797.46x = 196,671,627,086.71
  5. Step 5: Solve for x
    x = 196,671,627,086.71/501,797.46
  6. Step 6: Final answer
    x = 391,934.28

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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.