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Finding the Fourth Proportional to 319,168.48, 478,735.44 and 97,552.48

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Solution

The fourth proportional to 319,168.48, 478,735.44 and 97,552.48 is: 146,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,168.48 : 478,735.44 = 97,552.48 : x
  2. Step 2: Convert to fraction form
    319,168.48/478,735.44 = 97,552.48/x
  3. Step 3: Cross multiply
    319,168.48x = 478,735.44 × 97,552.48
  4. Step 4: Simplify right side
    319,168.48x = 46,701,829,435.89
  5. Step 5: Solve for x
    x = 46,701,829,435.89/319,168.48
  6. Step 6: Final answer
    x = 146,323.44

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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.