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Finding the Fourth Proportional to 298,552.61, 411,983.93 and 164,416.61

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Solution

The fourth proportional to 298,552.61, 411,983.93 and 164,416.61 is: 226,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,552.61 : 411,983.93 = 164,416.61 : x
  2. Step 2: Convert to fraction form
    298,552.61/411,983.93 = 164,416.61/x
  3. Step 3: Cross multiply
    298,552.61x = 411,983.93 × 164,416.61
  4. Step 4: Simplify right side
    298,552.61x = 67,736,999,496.20
  5. Step 5: Solve for x
    x = 67,736,999,496.20/298,552.61
  6. Step 6: Final answer
    x = 226,884.64

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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.