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Finding the Fourth Proportional to 614,712.88, 921,847.50 and 259,754.32

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Solution

The fourth proportional to 614,712.88, 921,847.50 and 259,754.32 is: 389,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,712.88 : 921,847.50 = 259,754.32 : x
  2. Step 2: Convert to fraction form
    614,712.88/921,847.50 = 259,754.32/x
  3. Step 3: Cross multiply
    614,712.88x = 921,847.50 × 259,754.32
  4. Step 4: Simplify right side
    614,712.88x = 239,453,870,506.20
  5. Step 5: Solve for x
    x = 239,453,870,506.20/614,712.88
  6. Step 6: Final answer
    x = 389,537.75

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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.