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Finding the Fourth Proportional to 296,543.18, 409,229.80 and 160,578.20

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Solution

The fourth proportional to 296,543.18, 409,229.80 and 160,578.20 is: 221,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,543.18 : 409,229.80 = 160,578.20 : x
  2. Step 2: Convert to fraction form
    296,543.18/409,229.80 = 160,578.20/x
  3. Step 3: Cross multiply
    296,543.18x = 409,229.80 × 160,578.20
  4. Step 4: Simplify right side
    296,543.18x = 65,713,382,222.77
  5. Step 5: Solve for x
    x = 65,713,382,222.77/296,543.18
  6. Step 6: Final answer
    x = 221,598.03

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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.