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Finding the Fourth Proportional to 577,548.78, 867,077.70 and 463,757.37

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Solution

The fourth proportional to 577,548.78, 867,077.70 and 463,757.37 is: 696,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,548.78 : 867,077.70 = 463,757.37 : x
  2. Step 2: Convert to fraction form
    577,548.78/867,077.70 = 463,757.37/x
  3. Step 3: Cross multiply
    577,548.78x = 867,077.70 × 463,757.37
  4. Step 4: Simplify right side
    577,548.78x = 402,113,673,737.65
  5. Step 5: Solve for x
    x = 402,113,673,737.65/577,548.78
  6. Step 6: Final answer
    x = 696,241.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.