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Finding the Fourth Proportional to 496,257.98, 744,693.14 and 229,968.86

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Solution

The fourth proportional to 496,257.98, 744,693.14 and 229,968.86 is: 345,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,257.98 : 744,693.14 = 229,968.86 : x
  2. Step 2: Convert to fraction form
    496,257.98/744,693.14 = 229,968.86/x
  3. Step 3: Cross multiply
    496,257.98x = 744,693.14 × 229,968.86
  4. Step 4: Simplify right side
    496,257.98x = 171,256,229,307.08
  5. Step 5: Solve for x
    x = 171,256,229,307.08/496,257.98
  6. Step 6: Final answer
    x = 345,095.17

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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.