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Finding the Fourth Proportional to 466,569.12, 643,643.64 and 275,454.48

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Solution

The fourth proportional to 466,569.12, 643,643.64 and 275,454.48 is: 379,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,569.12 : 643,643.64 = 275,454.48 : x
  2. Step 2: Convert to fraction form
    466,569.12/643,643.64 = 275,454.48/x
  3. Step 3: Cross multiply
    466,569.12x = 643,643.64 × 275,454.48
  4. Step 4: Simplify right side
    466,569.12x = 177,294,524,161.51
  5. Step 5: Solve for x
    x = 177,294,524,161.51/466,569.12
  6. Step 6: Final answer
    x = 379,996.27

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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.