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Finding the Fourth Proportional to 471,100.58, 705,017.91 and 451,505.06

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Solution

The fourth proportional to 471,100.58, 705,017.91 and 451,505.06 is: 675,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,100.58 : 705,017.91 = 451,505.06 : x
  2. Step 2: Convert to fraction form
    471,100.58/705,017.91 = 451,505.06/x
  3. Step 3: Cross multiply
    471,100.58x = 705,017.91 × 451,505.06
  4. Step 4: Simplify right side
    471,100.58x = 318,319,153,755.63
  5. Step 5: Solve for x
    x = 318,319,153,755.63/471,100.58
  6. Step 6: Final answer
    x = 675,692.55

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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.