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Finding the Fourth Proportional to 565,639.24, 780,535.98 and 333,029.46

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Solution

The fourth proportional to 565,639.24, 780,535.98 and 333,029.46 is: 459,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,639.24 : 780,535.98 = 333,029.46 : x
  2. Step 2: Convert to fraction form
    565,639.24/780,535.98 = 333,029.46/x
  3. Step 3: Cross multiply
    565,639.24x = 780,535.98 × 333,029.46
  4. Step 4: Simplify right side
    565,639.24x = 259,941,475,929.97
  5. Step 5: Solve for x
    x = 259,941,475,929.97/565,639.24
  6. Step 6: Final answer
    x = 459,553.47

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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.