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Finding the Fourth Proportional to 471,770.22, 707,157 and 231,549.91

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Solution

The fourth proportional to 471,770.22, 707,157 and 231,549.91 is: 347,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,770.22 : 707,157 = 231,549.91 : x
  2. Step 2: Convert to fraction form
    471,770.22/707,157 = 231,549.91/x
  3. Step 3: Cross multiply
    471,770.22x = 707,157 × 231,549.91
  4. Step 4: Simplify right side
    471,770.22x = 163,742,139,705.87
  5. Step 5: Solve for x
    x = 163,742,139,705.87/471,770.22
  6. Step 6: Final answer
    x = 347,080.28

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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.