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Finding the Fourth Proportional to 523,699.32, 722,705.54 and 297,344.82

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Solution

The fourth proportional to 523,699.32, 722,705.54 and 297,344.82 is: 410,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,699.32 : 722,705.54 = 297,344.82 : x
  2. Step 2: Convert to fraction form
    523,699.32/722,705.54 = 297,344.82/x
  3. Step 3: Cross multiply
    523,699.32x = 722,705.54 × 297,344.82
  4. Step 4: Simplify right side
    523,699.32x = 214,892,751,600.29
  5. Step 5: Solve for x
    x = 214,892,751,600.29/523,699.32
  6. Step 6: Final answer
    x = 410,336.13

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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.