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Finding the Fourth Proportional to 296,661.33, 409,390.20 and 160,692.12

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Solution

The fourth proportional to 296,661.33, 409,390.20 and 160,692.12 is: 221,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,661.33 : 409,390.20 = 160,692.12 : x
  2. Step 2: Convert to fraction form
    296,661.33/409,390.20 = 160,692.12/x
  3. Step 3: Cross multiply
    296,661.33x = 409,390.20 × 160,692.12
  4. Step 4: Simplify right side
    296,661.33x = 65,785,779,145.22
  5. Step 5: Solve for x
    x = 65,785,779,145.22/296,661.33
  6. Step 6: Final answer
    x = 221,753.81

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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.