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Finding the Fourth Proportional to 523,694.34, 722,699.06 and 297,339.84

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Solution

The fourth proportional to 523,694.34, 722,699.06 and 297,339.84 is: 410,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,694.34 : 722,699.06 = 297,339.84 : x
  2. Step 2: Convert to fraction form
    523,694.34/722,699.06 = 297,339.84/x
  3. Step 3: Cross multiply
    523,694.34x = 722,699.06 × 297,339.84
  4. Step 4: Simplify right side
    523,694.34x = 214,887,221,381.85
  5. Step 5: Solve for x
    x = 214,887,221,381.85/523,694.34
  6. Step 6: Final answer
    x = 410,329.47

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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.