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Finding the Fourth Proportional to 283,896.51, 391,678.26 and 181,978.17

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Solution

The fourth proportional to 283,896.51, 391,678.26 and 181,978.17 is: 251,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,896.51 : 391,678.26 = 181,978.17 : x
  2. Step 2: Convert to fraction form
    283,896.51/391,678.26 = 181,978.17/x
  3. Step 3: Cross multiply
    283,896.51x = 391,678.26 × 181,978.17
  4. Step 4: Simplify right side
    283,896.51x = 71,276,892,983.58
  5. Step 5: Solve for x
    x = 71,276,892,983.58/283,896.51
  6. Step 6: Final answer
    x = 251,066.46

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1.5x scale

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.