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Finding the Fourth Proportional to 296,493.90, 409,161.82 and 160,527.94

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Solution

The fourth proportional to 296,493.90, 409,161.82 and 160,527.94 is: 221,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,493.90 : 409,161.82 = 160,527.94 : x
  2. Step 2: Convert to fraction form
    296,493.90/409,161.82 = 160,527.94/x
  3. Step 3: Cross multiply
    296,493.90x = 409,161.82 × 160,527.94
  4. Step 4: Simplify right side
    296,493.90x = 65,681,904,492.57
  5. Step 5: Solve for x
    x = 65,681,904,492.57/296,493.90
  6. Step 6: Final answer
    x = 221,528.69

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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.