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Finding the Fourth Proportional to 280,888.29, 387,516.92 and 178,895.47

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Solution

The fourth proportional to 280,888.29, 387,516.92 and 178,895.47 is: 246,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,888.29 : 387,516.92 = 178,895.47 : x
  2. Step 2: Convert to fraction form
    280,888.29/387,516.92 = 178,895.47/x
  3. Step 3: Cross multiply
    280,888.29x = 387,516.92 × 178,895.47
  4. Step 4: Simplify right side
    280,888.29x = 69,325,021,536.35
  5. Step 5: Solve for x
    x = 69,325,021,536.35/280,888.29
  6. Step 6: Final answer
    x = 246,806.38

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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.