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Finding the Fourth Proportional to 433,713.98, 650,409.16 and 149,324.19

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Solution

The fourth proportional to 433,713.98, 650,409.16 and 149,324.19 is: 223,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,713.98 : 650,409.16 = 149,324.19 : x
  2. Step 2: Convert to fraction form
    433,713.98/650,409.16 = 149,324.19/x
  3. Step 3: Cross multiply
    433,713.98x = 650,409.16 × 149,324.19
  4. Step 4: Simplify right side
    433,713.98x = 97,121,820,985.58
  5. Step 5: Solve for x
    x = 97,121,820,985.58/433,713.98
  6. Step 6: Final answer
    x = 223,930.58

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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.