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Finding the Fourth Proportional to 471,742.44, 708,106.14 and 415,945.32

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Solution

The fourth proportional to 471,742.44, 708,106.14 and 415,945.32 is: 624,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,742.44 : 708,106.14 = 415,945.32 : x
  2. Step 2: Convert to fraction form
    471,742.44/708,106.14 = 415,945.32/x
  3. Step 3: Cross multiply
    471,742.44x = 708,106.14 × 415,945.32
  4. Step 4: Simplify right side
    471,742.44x = 294,533,434,996.27
  5. Step 5: Solve for x
    x = 294,533,434,996.27/471,742.44
  6. Step 6: Final answer
    x = 624,352.21

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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.