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Finding the Fourth Proportional to 466,057.80, 643,153.60 and 262,108.64

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Solution

The fourth proportional to 466,057.80, 643,153.60 and 262,108.64 is: 361,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,057.80 : 643,153.60 = 262,108.64 : x
  2. Step 2: Convert to fraction form
    466,057.80/643,153.60 = 262,108.64/x
  3. Step 3: Cross multiply
    466,057.80x = 643,153.60 × 262,108.64
  4. Step 4: Simplify right side
    466,057.80x = 168,576,115,407.10
  5. Step 5: Solve for x
    x = 168,576,115,407.10/466,057.80
  6. Step 6: Final answer
    x = 361,706.46

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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.