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Finding the Fourth Proportional to 319,181.41, 478,842.14 and 94,559.40

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Solution

The fourth proportional to 319,181.41, 478,842.14 and 94,559.40 is: 141,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,181.41 : 478,842.14 = 94,559.40 : x
  2. Step 2: Convert to fraction form
    319,181.41/478,842.14 = 94,559.40/x
  3. Step 3: Cross multiply
    319,181.41x = 478,842.14 × 94,559.40
  4. Step 4: Simplify right side
    319,181.41x = 45,279,025,453.12
  5. Step 5: Solve for x
    x = 45,279,025,453.12/319,181.41
  6. Step 6: Final answer
    x = 141,859.85

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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.