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Finding the Fourth Proportional to 471,347.74, 707,023.08 and 116,361.80

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Solution

The fourth proportional to 471,347.74, 707,023.08 and 116,361.80 is: 174,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,347.74 : 707,023.08 = 116,361.80 : x
  2. Step 2: Convert to fraction form
    471,347.74/707,023.08 = 116,361.80/x
  3. Step 3: Cross multiply
    471,347.74x = 707,023.08 × 116,361.80
  4. Step 4: Simplify right side
    471,347.74x = 82,270,477,346.57
  5. Step 5: Solve for x
    x = 82,270,477,346.57/471,347.74
  6. Step 6: Final answer
    x = 174,543.06

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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.