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Finding the Fourth Proportional to 294,447.86, 406,348.04 and 165,409.10

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Solution

The fourth proportional to 294,447.86, 406,348.04 and 165,409.10 is: 228,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,447.86 : 406,348.04 = 165,409.10 : x
  2. Step 2: Convert to fraction form
    294,447.86/406,348.04 = 165,409.10/x
  3. Step 3: Cross multiply
    294,447.86x = 406,348.04 × 165,409.10
  4. Step 4: Simplify right side
    294,447.86x = 67,213,663,583.16
  5. Step 5: Solve for x
    x = 67,213,663,583.16/294,447.86
  6. Step 6: Final answer
    x = 228,270.17

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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.