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Finding the Fourth Proportional to 471,974.64, 651,308.58 and 257,109.18

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Solution

The fourth proportional to 471,974.64, 651,308.58 and 257,109.18 is: 354,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,974.64 : 651,308.58 = 257,109.18 : x
  2. Step 2: Convert to fraction form
    471,974.64/651,308.58 = 257,109.18/x
  3. Step 3: Cross multiply
    471,974.64x = 651,308.58 × 257,109.18
  4. Step 4: Simplify right side
    471,974.64x = 167,457,414,930.76
  5. Step 5: Solve for x
    x = 167,457,414,930.76/471,974.64
  6. Step 6: Final answer
    x = 354,801.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.