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Finding the Fourth Proportional to 356,991.89, 492,564.30 and 201,946.74

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Solution

The fourth proportional to 356,991.89, 492,564.30 and 201,946.74 is: 278,638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,991.89 : 492,564.30 = 201,946.74 : x
  2. Step 2: Convert to fraction form
    356,991.89/492,564.30 = 201,946.74/x
  3. Step 3: Cross multiply
    356,991.89x = 492,564.30 × 201,946.74
  4. Step 4: Simplify right side
    356,991.89x = 99,471,754,625.38
  5. Step 5: Solve for x
    x = 99,471,754,625.38/356,991.89
  6. Step 6: Final answer
    x = 278,638.70

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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.