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Finding the Fourth Proportional to 308,643.80, 426,074.06 and 232,192.07

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Solution

The fourth proportional to 308,643.80, 426,074.06 and 232,192.07 is: 320,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,643.80 : 426,074.06 = 232,192.07 : x
  2. Step 2: Convert to fraction form
    308,643.80/426,074.06 = 232,192.07/x
  3. Step 3: Cross multiply
    308,643.80x = 426,074.06 × 232,192.07
  4. Step 4: Simplify right side
    308,643.80x = 98,931,019,610.37
  5. Step 5: Solve for x
    x = 98,931,019,610.37/308,643.80
  6. Step 6: Final answer
    x = 320,534.61

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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.