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Finding the Fourth Proportional to 289,875.51, 399,825.86 and 280,121.49

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Solution

The fourth proportional to 289,875.51, 399,825.86 and 280,121.49 is: 386,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,875.51 : 399,825.86 = 280,121.49 : x
  2. Step 2: Convert to fraction form
    289,875.51/399,825.86 = 280,121.49/x
  3. Step 3: Cross multiply
    289,875.51x = 399,825.86 × 280,121.49
  4. Step 4: Simplify right side
    289,875.51x = 111,999,814,243.12
  5. Step 5: Solve for x
    x = 111,999,814,243.12/289,875.51
  6. Step 6: Final answer
    x = 386,372.12

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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.