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Finding the Fourth Proportional to 706,164.40, 1,058,857.80 and 284,964.40

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Solution

The fourth proportional to 706,164.40, 1,058,857.80 and 284,964.40 is: 427,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,164.40 : 1,058,857.80 = 284,964.40 : x
  2. Step 2: Convert to fraction form
    706,164.40/1,058,857.80 = 284,964.40/x
  3. Step 3: Cross multiply
    706,164.40x = 1,058,857.80 × 284,964.40
  4. Step 4: Simplify right side
    706,164.40x = 301,736,777,662.32
  5. Step 5: Solve for x
    x = 301,736,777,662.32/706,164.40
  6. Step 6: Final answer
    x = 427,289.70

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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.