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Finding the Fourth Proportional to 379,233.80, 569,069.40 and 142,746.20

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Solution

The fourth proportional to 379,233.80, 569,069.40 and 142,746.20 is: 214,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,233.80 : 569,069.40 = 142,746.20 : x
  2. Step 2: Convert to fraction form
    379,233.80/569,069.40 = 142,746.20/x
  3. Step 3: Cross multiply
    379,233.80x = 569,069.40 × 142,746.20
  4. Step 4: Simplify right side
    379,233.80x = 81,232,494,386.28
  5. Step 5: Solve for x
    x = 81,232,494,386.28/379,233.80
  6. Step 6: Final answer
    x = 214,201.62

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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.