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Finding the Fourth Proportional to 347,282.40, 520,923.60 and 214,312.80

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Solution

The fourth proportional to 347,282.40, 520,923.60 and 214,312.80 is: 321,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,282.40 : 520,923.60 = 214,312.80 : x
  2. Step 2: Convert to fraction form
    347,282.40/520,923.60 = 214,312.80/x
  3. Step 3: Cross multiply
    347,282.40x = 520,923.60 × 214,312.80
  4. Step 4: Simplify right side
    347,282.40x = 111,640,595,302.08
  5. Step 5: Solve for x
    x = 111,640,595,302.08/347,282.40
  6. Step 6: Final answer
    x = 321,469.20

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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.