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Finding the Fourth Proportional to 341,192.82, 470,693.78 and 197,869.80

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Solution

The fourth proportional to 341,192.82, 470,693.78 and 197,869.80 is: 272,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,192.82 : 470,693.78 = 197,869.80 : x
  2. Step 2: Convert to fraction form
    341,192.82/470,693.78 = 197,869.80/x
  3. Step 3: Cross multiply
    341,192.82x = 470,693.78 × 197,869.80
  4. Step 4: Simplify right side
    341,192.82x = 93,136,084,109.84
  5. Step 5: Solve for x
    x = 93,136,084,109.84/341,192.82
  6. Step 6: Final answer
    x = 272,971.99

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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.