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Finding the Fourth Proportional to 296,574.95, 409,256.91 and 167,539.91

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Solution

The fourth proportional to 296,574.95, 409,256.91 and 167,539.91 is: 231,195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,574.95 : 409,256.91 = 167,539.91 : x
  2. Step 2: Convert to fraction form
    296,574.95/409,256.91 = 167,539.91/x
  3. Step 3: Cross multiply
    296,574.95x = 409,256.91 × 167,539.91
  4. Step 4: Simplify right side
    296,574.95x = 68,566,863,821.99
  5. Step 5: Solve for x
    x = 68,566,863,821.99/296,574.95
  6. Step 6: Final answer
    x = 231,195.73

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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.