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Finding the Fourth Proportional to 514,751.16, 771,040.51 and 412,998.32

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Solution

The fourth proportional to 514,751.16, 771,040.51 and 412,998.32 is: 618,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,751.16 : 771,040.51 = 412,998.32 : x
  2. Step 2: Convert to fraction form
    514,751.16/771,040.51 = 412,998.32/x
  3. Step 3: Cross multiply
    514,751.16x = 771,040.51 × 412,998.32
  4. Step 4: Simplify right side
    514,751.16x = 318,438,430,394.25
  5. Step 5: Solve for x
    x = 318,438,430,394.25/514,751.16
  6. Step 6: Final answer
    x = 618,625.96

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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.