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Finding the Fourth Proportional to 321,735.61, 482,606.86 and 97,098.06

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Solution

The fourth proportional to 321,735.61, 482,606.86 and 97,098.06 is: 145,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,735.61 : 482,606.86 = 97,098.06 : x
  2. Step 2: Convert to fraction form
    321,735.61/482,606.86 = 97,098.06/x
  3. Step 3: Cross multiply
    321,735.61x = 482,606.86 × 97,098.06
  4. Step 4: Simplify right side
    321,735.61x = 46,860,188,883.12
  5. Step 5: Solve for x
    x = 46,860,188,883.12/321,735.61
  6. Step 6: Final answer
    x = 145,648.13

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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.