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Finding the Fourth Proportional to 280,571.60, 387,088.20 and 165,826.16

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Solution

The fourth proportional to 280,571.60, 387,088.20 and 165,826.16 is: 228,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,571.60 : 387,088.20 = 165,826.16 : x
  2. Step 2: Convert to fraction form
    280,571.60/387,088.20 = 165,826.16/x
  3. Step 3: Cross multiply
    280,571.60x = 387,088.20 × 165,826.16
  4. Step 4: Simplify right side
    280,571.60x = 64,189,349,787.31
  5. Step 5: Solve for x
    x = 64,189,349,787.31/280,571.60
  6. Step 6: Final answer
    x = 228,780.64

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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.