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Finding the Fourth Proportional to 415,088.85, 622,633.73 and 115,570.08

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Solution

The fourth proportional to 415,088.85, 622,633.73 and 115,570.08 is: 173,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,088.85 : 622,633.73 = 115,570.08 : x
  2. Step 2: Convert to fraction form
    415,088.85/622,633.73 = 115,570.08/x
  3. Step 3: Cross multiply
    415,088.85x = 622,633.73 × 115,570.08
  4. Step 4: Simplify right side
    415,088.85x = 71,957,829,408.95
  5. Step 5: Solve for x
    x = 71,957,829,408.95/415,088.85
  6. Step 6: Final answer
    x = 173,355.25

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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.