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Finding the Fourth Proportional to 706,323.60, 1,058,563.80 and 327,200.40

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Solution

The fourth proportional to 706,323.60, 1,058,563.80 and 327,200.40 is: 490,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,323.60 : 1,058,563.80 = 327,200.40 : x
  2. Step 2: Convert to fraction form
    706,323.60/1,058,563.80 = 327,200.40/x
  3. Step 3: Cross multiply
    706,323.60x = 1,058,563.80 × 327,200.40
  4. Step 4: Simplify right side
    706,323.60x = 346,362,498,785.52
  5. Step 5: Solve for x
    x = 346,362,498,785.52/706,323.60
  6. Step 6: Final answer
    x = 490,373.67

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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.