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Finding the Fourth Proportional to 642,218.42, 886,261.38 and 355,757.06

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Solution

The fourth proportional to 642,218.42, 886,261.38 and 355,757.06 is: 490,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,218.42 : 886,261.38 = 355,757.06 : x
  2. Step 2: Convert to fraction form
    642,218.42/886,261.38 = 355,757.06/x
  3. Step 3: Cross multiply
    642,218.42x = 886,261.38 × 355,757.06
  4. Step 4: Simplify right side
    642,218.42x = 315,293,742,940.34
  5. Step 5: Solve for x
    x = 315,293,742,940.34/642,218.42
  6. Step 6: Final answer
    x = 490,944.72

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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.