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Finding the Fourth Proportional to 552,664.65, 829,074.83 and 192,783.02

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Solution

The fourth proportional to 552,664.65, 829,074.83 and 192,783.02 is: 289,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,664.65 : 829,074.83 = 192,783.02 : x
  2. Step 2: Convert to fraction form
    552,664.65/829,074.83 = 192,783.02/x
  3. Step 3: Cross multiply
    552,664.65x = 829,074.83 × 192,783.02
  4. Step 4: Simplify right side
    552,664.65x = 159,831,544,424.10
  5. Step 5: Solve for x
    x = 159,831,544,424.10/552,664.65
  6. Step 6: Final answer
    x = 289,201.68

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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.