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Finding the Fourth Proportional to 319,119.35, 478,749.02 and 94,497.30

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Solution

The fourth proportional to 319,119.35, 478,749.02 and 94,497.30 is: 141,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,119.35 : 478,749.02 = 94,497.30 : x
  2. Step 2: Convert to fraction form
    319,119.35/478,749.02 = 94,497.30/x
  3. Step 3: Cross multiply
    319,119.35x = 478,749.02 × 94,497.30
  4. Step 4: Simplify right side
    319,119.35x = 45,240,489,295.16
  5. Step 5: Solve for x
    x = 45,240,489,295.16/319,119.35
  6. Step 6: Final answer
    x = 141,766.68

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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.