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Finding the Fourth Proportional to 778,096.99, 1,074,659.58 and 523,005.31

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Solution

The fourth proportional to 778,096.99, 1,074,659.58 and 523,005.31 is: 722,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,096.99 : 1,074,659.58 = 523,005.31 : x
  2. Step 2: Convert to fraction form
    778,096.99/1,074,659.58 = 523,005.31/x
  3. Step 3: Cross multiply
    778,096.99x = 1,074,659.58 × 523,005.31
  4. Step 4: Simplify right side
    778,096.99x = 562,052,658,794.05
  5. Step 5: Solve for x
    x = 562,052,658,794.05/778,096.99
  6. Step 6: Final answer
    x = 722,342.68

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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.