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Finding the Fourth Proportional to 232,738,586.82, 321,485,832.84 and 172,509,678.06

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Solution

The fourth proportional to 232,738,586.82, 321,485,832.84 and 172,509,678.06 is: 238,290,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,738,586.82 : 321,485,832.84 = 172,509,678.06 : x
  2. Step 2: Convert to fraction form
    232,738,586.82/321,485,832.84 = 172,509,678.06/x
  3. Step 3: Cross multiply
    232,738,586.82x = 321,485,832.84 × 172,509,678.06
  4. Step 4: Simplify right side
    232,738,586.82x = 55,459,417,524,079,368
  5. Step 5: Solve for x
    x = 55,459,417,524,079,368/232,738,586.82
  6. Step 6: Final answer
    x = 238,290,600.12

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