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Finding the Fourth Proportional to 772,887, 1,066,594.96 and 466,920.84

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Solution

The fourth proportional to 772,887, 1,066,594.96 and 466,920.84 is: 644,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,887 : 1,066,594.96 = 466,920.84 : x
  2. Step 2: Convert to fraction form
    772,887/1,066,594.96 = 466,920.84/x
  3. Step 3: Cross multiply
    772,887x = 1,066,594.96 × 466,920.84
  4. Step 4: Simplify right side
    772,887x = 498,015,414,662.97
  5. Step 5: Solve for x
    x = 498,015,414,662.97/772,887
  6. Step 6: Final answer
    x = 644,357.34

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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.