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Finding the Fourth Proportional to 320,806.56, 442,823.70 and 184,894.80

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Solution

The fourth proportional to 320,806.56, 442,823.70 and 184,894.80 is: 255,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,806.56 : 442,823.70 = 184,894.80 : x
  2. Step 2: Convert to fraction form
    320,806.56/442,823.70 = 184,894.80/x
  3. Step 3: Cross multiply
    320,806.56x = 442,823.70 × 184,894.80
  4. Step 4: Simplify right side
    320,806.56x = 81,875,799,446.76
  5. Step 5: Solve for x
    x = 81,875,799,446.76/320,806.56
  6. Step 6: Final answer
    x = 255,218.59

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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.