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Finding the Fourth Proportional to 296,513.84, 409,187.37 and 160,544.98

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Solution

The fourth proportional to 296,513.84, 409,187.37 and 160,544.98 is: 221,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,513.84 : 409,187.37 = 160,544.98 : x
  2. Step 2: Convert to fraction form
    296,513.84/409,187.37 = 160,544.98/x
  3. Step 3: Cross multiply
    296,513.84x = 409,187.37 × 160,544.98
  4. Step 4: Simplify right side
    296,513.84x = 65,692,976,086.97
  5. Step 5: Solve for x
    x = 65,692,976,086.97/296,513.84
  6. Step 6: Final answer
    x = 221,551.13

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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.