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Finding the Fourth Proportional to 374,628.80, 561,943.20 and 214,540.40

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Solution

The fourth proportional to 374,628.80, 561,943.20 and 214,540.40 is: 321,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,628.80 : 561,943.20 = 214,540.40 : x
  2. Step 2: Convert to fraction form
    374,628.80/561,943.20 = 214,540.40/x
  3. Step 3: Cross multiply
    374,628.80x = 561,943.20 × 214,540.40
  4. Step 4: Simplify right side
    374,628.80x = 120,559,518,905.28
  5. Step 5: Solve for x
    x = 120,559,518,905.28/374,628.80
  6. Step 6: Final answer
    x = 321,810.60

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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.