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Finding the Fourth Proportional to 610,458.56, 842,475.94 and 338,552.46

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Solution

The fourth proportional to 610,458.56, 842,475.94 and 338,552.46 is: 467,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,458.56 : 842,475.94 = 338,552.46 : x
  2. Step 2: Convert to fraction form
    610,458.56/842,475.94 = 338,552.46/x
  3. Step 3: Cross multiply
    610,458.56x = 842,475.94 × 338,552.46
  4. Step 4: Simplify right side
    610,458.56x = 285,222,301,977.81
  5. Step 5: Solve for x
    x = 285,222,301,977.81/610,458.56
  6. Step 6: Final answer
    x = 467,226.31

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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.