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Finding the Fourth Proportional to 467,348.49, 700,742.46 and 214,312.02

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Solution

The fourth proportional to 467,348.49, 700,742.46 and 214,312.02 is: 321,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,348.49 : 700,742.46 = 214,312.02 : x
  2. Step 2: Convert to fraction form
    467,348.49/700,742.46 = 214,312.02/x
  3. Step 3: Cross multiply
    467,348.49x = 700,742.46 × 214,312.02
  4. Step 4: Simplify right side
    467,348.49x = 150,177,532,102.37
  5. Step 5: Solve for x
    x = 150,177,532,102.37/467,348.49
  6. Step 6: Final answer
    x = 321,339.50

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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.