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Finding the Fourth Proportional to 399,612.25, 596,503.30 and 349,166.37

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Solution

The fourth proportional to 399,612.25, 596,503.30 and 349,166.37 is: 521,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,612.25 : 596,503.30 = 349,166.37 : x
  2. Step 2: Convert to fraction form
    399,612.25/596,503.30 = 349,166.37/x
  3. Step 3: Cross multiply
    399,612.25x = 596,503.30 × 349,166.37
  4. Step 4: Simplify right side
    399,612.25x = 208,278,891,954.02
  5. Step 5: Solve for x
    x = 208,278,891,954.02/399,612.25
  6. Step 6: Final answer
    x = 521,202.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.