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Finding the Fourth Proportional to 540,460.34, 745,822.14 and 298,736.70

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Solution

The fourth proportional to 540,460.34, 745,822.14 and 298,736.70 is: 412,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,460.34 : 745,822.14 = 298,736.70 : x
  2. Step 2: Convert to fraction form
    540,460.34/745,822.14 = 298,736.70/x
  3. Step 3: Cross multiply
    540,460.34x = 745,822.14 × 298,736.70
  4. Step 4: Simplify right side
    540,460.34x = 222,804,444,890.54
  5. Step 5: Solve for x
    x = 222,804,444,890.54/540,460.34
  6. Step 6: Final answer
    x = 412,249.39

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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.