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Finding the Fourth Proportional to 280,569.60, 387,085.44 and 165,824.16

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Solution

The fourth proportional to 280,569.60, 387,085.44 and 165,824.16 is: 228,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,569.60 : 387,085.44 = 165,824.16 : x
  2. Step 2: Convert to fraction form
    280,569.60/387,085.44 = 165,824.16/x
  3. Step 3: Cross multiply
    280,569.60x = 387,085.44 × 165,824.16
  4. Step 4: Simplify right side
    280,569.60x = 64,188,117,936.23
  5. Step 5: Solve for x
    x = 64,188,117,936.23/280,569.60
  6. Step 6: Final answer
    x = 228,777.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.