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Finding the Fourth Proportional to 610,261.63, 842,210.94 and 338,414.79

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Solution

The fourth proportional to 610,261.63, 842,210.94 and 338,414.79 is: 467,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,261.63 : 842,210.94 = 338,414.79 : x
  2. Step 2: Convert to fraction form
    610,261.63/842,210.94 = 338,414.79/x
  3. Step 3: Cross multiply
    610,261.63x = 842,210.94 × 338,414.79
  4. Step 4: Simplify right side
    610,261.63x = 285,016,638,395.80
  5. Step 5: Solve for x
    x = 285,016,638,395.80/610,261.63
  6. Step 6: Final answer
    x = 467,040.08

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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.