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Finding the Fourth Proportional to 743,597.70, 1,026,162.11 and 421,369.38

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Solution

The fourth proportional to 743,597.70, 1,026,162.11 and 421,369.38 is: 581,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,597.70 : 1,026,162.11 = 421,369.38 : x
  2. Step 2: Convert to fraction form
    743,597.70/1,026,162.11 = 421,369.38/x
  3. Step 3: Cross multiply
    743,597.70x = 1,026,162.11 × 421,369.38
  4. Step 4: Simplify right side
    743,597.70x = 432,393,289,963.35
  5. Step 5: Solve for x
    x = 432,393,289,963.35/743,597.70
  6. Step 6: Final answer
    x = 581,488.20

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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.