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Finding the Fourth Proportional to 409,625.40, 614,438.10 and 114,137.40

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Solution

The fourth proportional to 409,625.40, 614,438.10 and 114,137.40 is: 171,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,625.40 : 614,438.10 = 114,137.40 : x
  2. Step 2: Convert to fraction form
    409,625.40/614,438.10 = 114,137.40/x
  3. Step 3: Cross multiply
    409,625.40x = 614,438.10 × 114,137.40
  4. Step 4: Simplify right side
    409,625.40x = 70,130,367,194.94
  5. Step 5: Solve for x
    x = 70,130,367,194.94/409,625.40
  6. Step 6: Final answer
    x = 171,206.10

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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.