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Finding the Fourth Proportional to 353,722.80, 530,584.20 and 315,015.60

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Solution

The fourth proportional to 353,722.80, 530,584.20 and 315,015.60 is: 472,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,722.80 : 530,584.20 = 315,015.60 : x
  2. Step 2: Convert to fraction form
    353,722.80/530,584.20 = 315,015.60/x
  3. Step 3: Cross multiply
    353,722.80x = 530,584.20 × 315,015.60
  4. Step 4: Simplify right side
    353,722.80x = 167,142,300,113.52
  5. Step 5: Solve for x
    x = 167,142,300,113.52/353,722.80
  6. Step 6: Final answer
    x = 472,523.40

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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.