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Finding the Fourth Proportional to 379,812.40, 569,718.60 and 238,094.80

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Solution

The fourth proportional to 379,812.40, 569,718.60 and 238,094.80 is: 357,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,812.40 : 569,718.60 = 238,094.80 : x
  2. Step 2: Convert to fraction form
    379,812.40/569,718.60 = 238,094.80/x
  3. Step 3: Cross multiply
    379,812.40x = 569,718.60 × 238,094.80
  4. Step 4: Simplify right side
    379,812.40x = 135,647,036,123.28
  5. Step 5: Solve for x
    x = 135,647,036,123.28/379,812.40
  6. Step 6: Final answer
    x = 357,142.20

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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.