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Finding the Fourth Proportional to 763,800.38, 1,054,062.16 and 419,657.82

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Solution

The fourth proportional to 763,800.38, 1,054,062.16 and 419,657.82 is: 579,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,800.38 : 1,054,062.16 = 419,657.82 : x
  2. Step 2: Convert to fraction form
    763,800.38/1,054,062.16 = 419,657.82/x
  3. Step 3: Cross multiply
    763,800.38x = 1,054,062.16 × 419,657.82
  4. Step 4: Simplify right side
    763,800.38x = 442,345,428,210.09
  5. Step 5: Solve for x
    x = 442,345,428,210.09/763,800.38
  6. Step 6: Final answer
    x = 579,137.48

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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.