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Finding the Fourth Proportional to 471,838.80, 706,030.20 and 347,422.80

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Solution

The fourth proportional to 471,838.80, 706,030.20 and 347,422.80 is: 519,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,838.80 : 706,030.20 = 347,422.80 : x
  2. Step 2: Convert to fraction form
    471,838.80/706,030.20 = 347,422.80/x
  3. Step 3: Cross multiply
    471,838.80x = 706,030.20 × 347,422.80
  4. Step 4: Simplify right side
    471,838.80x = 245,290,988,968.56
  5. Step 5: Solve for x
    x = 245,290,988,968.56/471,838.80
  6. Step 6: Final answer
    x = 519,861.84

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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.