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Finding the Fourth Proportional to 471,566.84, 650,661.32 and 280,542.92

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Solution

The fourth proportional to 471,566.84, 650,661.32 and 280,542.92 is: 387,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,566.84 : 650,661.32 = 280,542.92 : x
  2. Step 2: Convert to fraction form
    471,566.84/650,661.32 = 280,542.92/x
  3. Step 3: Cross multiply
    471,566.84x = 650,661.32 × 280,542.92
  4. Step 4: Simplify right side
    471,566.84x = 182,538,424,091.91
  5. Step 5: Solve for x
    x = 182,538,424,091.91/471,566.84
  6. Step 6: Final answer
    x = 387,089.19

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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.