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Finding the Fourth Proportional to 565,578.38, 780,512.94 and 307,472.69

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Solution

The fourth proportional to 565,578.38, 780,512.94 and 307,472.69 is: 424,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,578.38 : 780,512.94 = 307,472.69 : x
  2. Step 2: Convert to fraction form
    565,578.38/780,512.94 = 307,472.69/x
  3. Step 3: Cross multiply
    565,578.38x = 780,512.94 × 307,472.69
  4. Step 4: Simplify right side
    565,578.38x = 239,986,409,339.04
  5. Step 5: Solve for x
    x = 239,986,409,339.04/565,578.38
  6. Step 6: Final answer
    x = 424,320.34

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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.