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Finding the Fourth Proportional to 346,999.12, 478,832.47 and 211,014.16

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Solution

The fourth proportional to 346,999.12, 478,832.47 and 211,014.16 is: 291,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,999.12 : 478,832.47 = 211,014.16 : x
  2. Step 2: Convert to fraction form
    346,999.12/478,832.47 = 211,014.16/x
  3. Step 3: Cross multiply
    346,999.12x = 478,832.47 × 211,014.16
  4. Step 4: Simplify right side
    346,999.12x = 101,040,431,437.78
  5. Step 5: Solve for x
    x = 101,040,431,437.78/346,999.12
  6. Step 6: Final answer
    x = 291,183.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.