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Finding the Fourth Proportional to 451,652.48, 677,478.96 and 114,718.40

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Solution

The fourth proportional to 451,652.48, 677,478.96 and 114,718.40 is: 172,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,652.48 : 677,478.96 = 114,718.40 : x
  2. Step 2: Convert to fraction form
    451,652.48/677,478.96 = 114,718.40/x
  3. Step 3: Cross multiply
    451,652.48x = 677,478.96 × 114,718.40
  4. Step 4: Simplify right side
    451,652.48x = 77,719,302,324.86
  5. Step 5: Solve for x
    x = 77,719,302,324.86/451,652.48
  6. Step 6: Final answer
    x = 172,077.66

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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.