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Finding the Fourth Proportional to 532,906.80, 798,193.80 and 462,922.80

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Solution

The fourth proportional to 532,906.80, 798,193.80 and 462,922.80 is: 693,370.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,906.80 : 798,193.80 = 462,922.80 : x
  2. Step 2: Convert to fraction form
    532,906.80/798,193.80 = 462,922.80/x
  3. Step 3: Cross multiply
    532,906.80x = 798,193.80 × 462,922.80
  4. Step 4: Simplify right side
    532,906.80x = 369,502,108,838.64
  5. Step 5: Solve for x
    x = 369,502,108,838.64/532,906.80
  6. Step 6: Final answer
    x = 693,370.98

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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.