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Finding the Fourth Proportional to 296,467.67, 409,122.45 and 160,498.02

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Solution

The fourth proportional to 296,467.67, 409,122.45 and 160,498.02 is: 221,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,467.67 : 409,122.45 = 160,498.02 : x
  2. Step 2: Convert to fraction form
    296,467.67/409,122.45 = 160,498.02/x
  3. Step 3: Cross multiply
    296,467.67x = 409,122.45 × 160,498.02
  4. Step 4: Simplify right side
    296,467.67x = 65,663,343,162.55
  5. Step 5: Solve for x
    x = 65,663,343,162.55/296,467.67
  6. Step 6: Final answer
    x = 221,485.68

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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.