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Finding the Fourth Proportional to 296,605.88, 409,314.04 and 160,636.76

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Solution

The fourth proportional to 296,605.88, 409,314.04 and 160,636.76 is: 221,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,605.88 : 409,314.04 = 160,636.76 : x
  2. Step 2: Convert to fraction form
    296,605.88/409,314.04 = 160,636.76/x
  3. Step 3: Cross multiply
    296,605.88x = 409,314.04 × 160,636.76
  4. Step 4: Simplify right side
    296,605.88x = 65,750,881,208.11
  5. Step 5: Solve for x
    x = 65,750,881,208.11/296,605.88
  6. Step 6: Final answer
    x = 221,677.61

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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.