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Finding the Fourth Proportional to 635,849.82, 876,870.36 and 417,674.70

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Solution

The fourth proportional to 635,849.82, 876,870.36 and 417,674.70 is: 575,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,849.82 : 876,870.36 = 417,674.70 : x
  2. Step 2: Convert to fraction form
    635,849.82/876,870.36 = 417,674.70/x
  3. Step 3: Cross multiply
    635,849.82x = 876,870.36 × 417,674.70
  4. Step 4: Simplify right side
    635,849.82x = 366,246,567,018.09
  5. Step 5: Solve for x
    x = 366,246,567,018.09/635,849.82
  6. Step 6: Final answer
    x = 575,995.39

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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.