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Finding the Fourth Proportional to 433,912.60, 650,577.30 and 197,133.40

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Solution

The fourth proportional to 433,912.60, 650,577.30 and 197,133.40 is: 295,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,912.60 : 650,577.30 = 197,133.40 : x
  2. Step 2: Convert to fraction form
    433,912.60/650,577.30 = 197,133.40/x
  3. Step 3: Cross multiply
    433,912.60x = 650,577.30 × 197,133.40
  4. Step 4: Simplify right side
    433,912.60x = 128,250,515,111.82
  5. Step 5: Solve for x
    x = 128,250,515,111.82/433,912.60
  6. Step 6: Final answer
    x = 295,567.62

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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.