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Finding the Fourth Proportional to 433,925.09, 650,930.44 and 149,578.21

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Solution

The fourth proportional to 433,925.09, 650,930.44 and 149,578.21 is: 224,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,925.09 : 650,930.44 = 149,578.21 : x
  2. Step 2: Convert to fraction form
    433,925.09/650,930.44 = 149,578.21/x
  3. Step 3: Cross multiply
    433,925.09x = 650,930.44 × 149,578.21
  4. Step 4: Simplify right side
    433,925.09x = 97,365,010,125.00
  5. Step 5: Solve for x
    x = 97,365,010,125.00/433,925.09
  6. Step 6: Final answer
    x = 224,382.07

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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.