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Finding the Fourth Proportional to 433,890.40, 650,641.20 and 197,111.20

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Solution

The fourth proportional to 433,890.40, 650,641.20 and 197,111.20 is: 295,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,890.40 : 650,641.20 = 197,111.20 : x
  2. Step 2: Convert to fraction form
    433,890.40/650,641.20 = 197,111.20/x
  3. Step 3: Cross multiply
    433,890.40x = 650,641.20 × 197,111.20
  4. Step 4: Simplify right side
    433,890.40x = 128,248,667,701.44
  5. Step 5: Solve for x
    x = 128,248,667,701.44/433,890.40
  6. Step 6: Final answer
    x = 295,578.49

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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.