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Finding the Fourth Proportional to 415,005.40, 622,508.10 and 366,016.60

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Solution

The fourth proportional to 415,005.40, 622,508.10 and 366,016.60 is: 549,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,005.40 : 622,508.10 = 366,016.60 : x
  2. Step 2: Convert to fraction form
    415,005.40/622,508.10 = 366,016.60/x
  3. Step 3: Cross multiply
    415,005.40x = 622,508.10 × 366,016.60
  4. Step 4: Simplify right side
    415,005.40x = 227,848,298,234.46
  5. Step 5: Solve for x
    x = 227,848,298,234.46/415,005.40
  6. Step 6: Final answer
    x = 549,024.90

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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.