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Finding the Fourth Proportional to 451,612.13, 677,418.50 and 114,678.05

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Solution

The fourth proportional to 451,612.13, 677,418.50 and 114,678.05 is: 172,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,612.13 : 677,418.50 = 114,678.05 : x
  2. Step 2: Convert to fraction form
    451,612.13/677,418.50 = 114,678.05/x
  3. Step 3: Cross multiply
    451,612.13x = 677,418.50 × 114,678.05
  4. Step 4: Simplify right side
    451,612.13x = 77,685,034,594.17
  5. Step 5: Solve for x
    x = 77,685,034,594.17/451,612.13
  6. Step 6: Final answer
    x = 172,017.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.