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Finding the Fourth Proportional to 471,975.10, 651,324.75 and 257,115.11

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Solution

The fourth proportional to 471,975.10, 651,324.75 and 257,115.11 is: 354,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,975.10 : 651,324.75 = 257,115.11 : x
  2. Step 2: Convert to fraction form
    471,975.10/651,324.75 = 257,115.11/x
  3. Step 3: Cross multiply
    471,975.10x = 651,324.75 × 257,115.11
  4. Step 4: Simplify right side
    471,975.10x = 167,465,434,184.87
  5. Step 5: Solve for x
    x = 167,465,434,184.87/471,975.10
  6. Step 6: Final answer
    x = 354,818.36

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