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Finding the Fourth Proportional to 319,168.98, 478,736.19 and 97,552.98

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Solution

The fourth proportional to 319,168.98, 478,736.19 and 97,552.98 is: 146,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,168.98 : 478,736.19 = 97,552.98 : x
  2. Step 2: Convert to fraction form
    319,168.98/478,736.19 = 97,552.98/x
  3. Step 3: Cross multiply
    319,168.98x = 478,736.19 × 97,552.98
  4. Step 4: Simplify right side
    319,168.98x = 46,702,141,968.35
  5. Step 5: Solve for x
    x = 46,702,141,968.35/319,168.98
  6. Step 6: Final answer
    x = 146,324.19

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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.