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Finding the Fourth Proportional to 471,830.40, 706,190.40 and 366,076.80

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Solution

The fourth proportional to 471,830.40, 706,190.40 and 366,076.80 is: 547,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,830.40 : 706,190.40 = 366,076.80 : x
  2. Step 2: Convert to fraction form
    471,830.40/706,190.40 = 366,076.80/x
  3. Step 3: Cross multiply
    471,830.40x = 706,190.40 × 366,076.80
  4. Step 4: Simplify right side
    471,830.40x = 258,519,921,822.72
  5. Step 5: Solve for x
    x = 258,519,921,822.72/471,830.40
  6. Step 6: Final answer
    x = 547,908.57

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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.