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Finding the Fourth Proportional to 415,461.50, 623,129.07 and 115,910.54

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Solution

The fourth proportional to 415,461.50, 623,129.07 and 115,910.54 is: 173,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,461.50 : 623,129.07 = 115,910.54 : x
  2. Step 2: Convert to fraction form
    415,461.50/623,129.07 = 115,910.54/x
  3. Step 3: Cross multiply
    415,461.50x = 623,129.07 × 115,910.54
  4. Step 4: Simplify right side
    415,461.50x = 72,227,226,993.40
  5. Step 5: Solve for x
    x = 72,227,226,993.40/415,461.50
  6. Step 6: Final answer
    x = 173,848.18

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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.