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Finding the Fourth Proportional to 706,175.36, 1,058,930.28 and 256,580

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Solution

The fourth proportional to 706,175.36, 1,058,930.28 and 256,580 is: 384,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,175.36 : 1,058,930.28 = 256,580 : x
  2. Step 2: Convert to fraction form
    706,175.36/1,058,930.28 = 256,580/x
  3. Step 3: Cross multiply
    706,175.36x = 1,058,930.28 × 256,580
  4. Step 4: Simplify right side
    706,175.36x = 271,700,331,242.40
  5. Step 5: Solve for x
    x = 271,700,331,242.40/706,175.36
  6. Step 6: Final answer
    x = 384,749.10

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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.