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Finding the Fourth Proportional to 333,648.82, 458,942.16 and 292,610.98

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Solution

The fourth proportional to 333,648.82, 458,942.16 and 292,610.98 is: 402,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,648.82 : 458,942.16 = 292,610.98 : x
  2. Step 2: Convert to fraction form
    333,648.82/458,942.16 = 292,610.98/x
  3. Step 3: Cross multiply
    333,648.82x = 458,942.16 × 292,610.98
  4. Step 4: Simplify right side
    333,648.82x = 134,291,515,200.92
  5. Step 5: Solve for x
    x = 134,291,515,200.92/333,648.82
  6. Step 6: Final answer
    x = 402,493.60

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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.