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Finding the Fourth Proportional to 412,756.68, 569,394.36 and 269,600.52

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Solution

The fourth proportional to 412,756.68, 569,394.36 and 269,600.52 is: 371,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,756.68 : 569,394.36 = 269,600.52 : x
  2. Step 2: Convert to fraction form
    412,756.68/569,394.36 = 269,600.52/x
  3. Step 3: Cross multiply
    412,756.68x = 569,394.36 × 269,600.52
  4. Step 4: Simplify right side
    412,756.68x = 153,509,015,541.07
  5. Step 5: Solve for x
    x = 153,509,015,541.07/412,756.68
  6. Step 6: Final answer
    x = 371,911.64

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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.