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Finding the Fourth Proportional to 319,805.27, 478,943.13 and 184,459.05

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Solution

The fourth proportional to 319,805.27, 478,943.13 and 184,459.05 is: 276,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,805.27 : 478,943.13 = 184,459.05 : x
  2. Step 2: Convert to fraction form
    319,805.27/478,943.13 = 184,459.05/x
  3. Step 3: Cross multiply
    319,805.27x = 478,943.13 × 184,459.05
  4. Step 4: Simplify right side
    319,805.27x = 88,345,392,830.26
  5. Step 5: Solve for x
    x = 88,345,392,830.26/319,805.27
  6. Step 6: Final answer
    x = 276,247.46

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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.