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Finding the Fourth Proportional to 296,895, 409,715.10 and 162,759

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Solution

The fourth proportional to 296,895, 409,715.10 and 162,759 is: 224,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,895 : 409,715.10 = 162,759 : x
  2. Step 2: Convert to fraction form
    296,895/409,715.10 = 162,759/x
  3. Step 3: Cross multiply
    296,895x = 409,715.10 × 162,759
  4. Step 4: Simplify right side
    296,895x = 66,684,819,960.90
  5. Step 5: Solve for x
    x = 66,684,819,960.90/296,895
  6. Step 6: Final answer
    x = 224,607.42

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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.