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Finding the Fourth Proportional to 451,744, 677,443.44 and 152,144.08

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Solution

The fourth proportional to 451,744, 677,443.44 and 152,144.08 is: 228,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,744 : 677,443.44 = 152,144.08 : x
  2. Step 2: Convert to fraction form
    451,744/677,443.44 = 152,144.08/x
  3. Step 3: Cross multiply
    451,744x = 677,443.44 × 152,144.08
  4. Step 4: Simplify right side
    451,744x = 103,069,008,930.84
  5. Step 5: Solve for x
    x = 103,069,008,930.84/451,744
  6. Step 6: Final answer
    x = 228,158.00

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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.