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Finding the Fourth Proportional to 282,864.88, 390,360.24 and 155,540.38

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Solution

The fourth proportional to 282,864.88, 390,360.24 and 155,540.38 is: 214,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,864.88 : 390,360.24 = 155,540.38 : x
  2. Step 2: Convert to fraction form
    282,864.88/390,360.24 = 155,540.38/x
  3. Step 3: Cross multiply
    282,864.88x = 390,360.24 × 155,540.38
  4. Step 4: Simplify right side
    282,864.88x = 60,716,780,066.49
  5. Step 5: Solve for x
    x = 60,716,780,066.49/282,864.88
  6. Step 6: Final answer
    x = 214,649.41

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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.