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Finding the Fourth Proportional to 379,513.32, 569,204.08 and 142,857.80

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Solution

The fourth proportional to 379,513.32, 569,204.08 and 142,857.80 is: 214,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,513.32 : 569,204.08 = 142,857.80 : x
  2. Step 2: Convert to fraction form
    379,513.32/569,204.08 = 142,857.80/x
  3. Step 3: Cross multiply
    379,513.32x = 569,204.08 × 142,857.80
  4. Step 4: Simplify right side
    379,513.32x = 81,315,242,619.82
  5. Step 5: Solve for x
    x = 81,315,242,619.82/379,513.32
  6. Step 6: Final answer
    x = 214,261.89

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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.