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Finding the Fourth Proportional to 354,911, 532,104.06 and 214,638.44

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Solution

The fourth proportional to 354,911, 532,104.06 and 214,638.44 is: 321,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,911 : 532,104.06 = 214,638.44 : x
  2. Step 2: Convert to fraction form
    354,911/532,104.06 = 214,638.44/x
  3. Step 3: Cross multiply
    354,911x = 532,104.06 × 214,638.44
  4. Step 4: Simplify right side
    354,911x = 114,209,985,356.07
  5. Step 5: Solve for x
    x = 114,209,985,356.07/354,911
  6. Step 6: Final answer
    x = 321,798.94

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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.