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Finding the Fourth Proportional to 468,164.30, 701,058.45 and 257,564.30

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Solution

The fourth proportional to 468,164.30, 701,058.45 and 257,564.30 is: 385,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,164.30 : 701,058.45 = 257,564.30 : x
  2. Step 2: Convert to fraction form
    468,164.30/701,058.45 = 257,564.30/x
  3. Step 3: Cross multiply
    468,164.30x = 701,058.45 × 257,564.30
  4. Step 4: Simplify right side
    468,164.30x = 180,567,628,933.34
  5. Step 5: Solve for x
    x = 180,567,628,933.34/468,164.30
  6. Step 6: Final answer
    x = 385,692.86

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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.