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Finding the Fourth Proportional to 280,834.65, 387,619.16 and 160,005.60

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Solution

The fourth proportional to 280,834.65, 387,619.16 and 160,005.60 is: 220,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,834.65 : 387,619.16 = 160,005.60 : x
  2. Step 2: Convert to fraction form
    280,834.65/387,619.16 = 160,005.60/x
  3. Step 3: Cross multiply
    280,834.65x = 387,619.16 × 160,005.60
  4. Step 4: Simplify right side
    280,834.65x = 62,021,235,467.27
  5. Step 5: Solve for x
    x = 62,021,235,467.27/280,834.65
  6. Step 6: Final answer
    x = 220,846.09

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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.