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Finding the Fourth Proportional to 466,110, 643,232.52 and 264,906

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Solution

The fourth proportional to 466,110, 643,232.52 and 264,906 is: 365,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,110 : 643,232.52 = 264,906 : x
  2. Step 2: Convert to fraction form
    466,110/643,232.52 = 264,906/x
  3. Step 3: Cross multiply
    466,110x = 643,232.52 × 264,906
  4. Step 4: Simplify right side
    466,110x = 170,396,153,943.12
  5. Step 5: Solve for x
    x = 170,396,153,943.12/466,110
  6. Step 6: Final answer
    x = 365,570.69

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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.