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Finding the Fourth Proportional to 471,425.66, 706,742.40 and 382,458.50

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Solution

The fourth proportional to 471,425.66, 706,742.40 and 382,458.50 is: 573,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,425.66 : 706,742.40 = 382,458.50 : x
  2. Step 2: Convert to fraction form
    471,425.66/706,742.40 = 382,458.50/x
  3. Step 3: Cross multiply
    471,425.66x = 706,742.40 × 382,458.50
  4. Step 4: Simplify right side
    471,425.66x = 270,299,638,190.40
  5. Step 5: Solve for x
    x = 270,299,638,190.40/471,425.66
  6. Step 6: Final answer
    x = 573,366.41

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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.