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Finding the Fourth Proportional to 429,561.36, 644,095.13 and 177,016.19

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Solution

The fourth proportional to 429,561.36, 644,095.13 and 177,016.19 is: 265,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,561.36 : 644,095.13 = 177,016.19 : x
  2. Step 2: Convert to fraction form
    429,561.36/644,095.13 = 177,016.19/x
  3. Step 3: Cross multiply
    429,561.36x = 644,095.13 × 177,016.19
  4. Step 4: Simplify right side
    429,561.36x = 114,015,261,804.60
  5. Step 5: Solve for x
    x = 114,015,261,804.60/429,561.36
  6. Step 6: Final answer
    x = 265,422.53

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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.