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Finding the Fourth Proportional to 296,234.77, 408,802.87 and 160,268.29

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Solution

The fourth proportional to 296,234.77, 408,802.87 and 160,268.29 is: 221,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,234.77 : 408,802.87 = 160,268.29 : x
  2. Step 2: Convert to fraction form
    296,234.77/408,802.87 = 160,268.29/x
  3. Step 3: Cross multiply
    296,234.77x = 408,802.87 × 160,268.29
  4. Step 4: Simplify right side
    296,234.77x = 65,518,136,921.99
  5. Step 5: Solve for x
    x = 65,518,136,921.99/296,234.77
  6. Step 6: Final answer
    x = 221,169.64

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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.