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Finding the Fourth Proportional to 713,089.44, 1,069,495.92 and 269,892

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Solution

The fourth proportional to 713,089.44, 1,069,495.92 and 269,892 is: 404,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,089.44 : 1,069,495.92 = 269,892 : x
  2. Step 2: Convert to fraction form
    713,089.44/1,069,495.92 = 269,892/x
  3. Step 3: Cross multiply
    713,089.44x = 1,069,495.92 × 269,892
  4. Step 4: Simplify right side
    713,089.44x = 288,648,392,840.64
  5. Step 5: Solve for x
    x = 288,648,392,840.64/713,089.44
  6. Step 6: Final answer
    x = 404,785.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.