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Finding the Fourth Proportional to 522,029.25, 782,920.76 and 294,422.49

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Solution

The fourth proportional to 522,029.25, 782,920.76 and 294,422.49 is: 441,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,029.25 : 782,920.76 = 294,422.49 : x
  2. Step 2: Convert to fraction form
    522,029.25/782,920.76 = 294,422.49/x
  3. Step 3: Cross multiply
    522,029.25x = 782,920.76 × 294,422.49
  4. Step 4: Simplify right side
    522,029.25x = 230,509,478,159.78
  5. Step 5: Solve for x
    x = 230,509,478,159.78/522,029.25
  6. Step 6: Final answer
    x = 441,564.30

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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.