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Finding the Fourth Proportional to 296,692.60, 445,038.80 and 197,047.34

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Solution

The fourth proportional to 296,692.60, 445,038.80 and 197,047.34 is: 295,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,692.60 : 445,038.80 = 197,047.34 : x
  2. Step 2: Convert to fraction form
    296,692.60/445,038.80 = 197,047.34/x
  3. Step 3: Cross multiply
    296,692.60x = 445,038.80 × 197,047.34
  4. Step 4: Simplify right side
    296,692.60x = 87,693,711,736.79
  5. Step 5: Solve for x
    x = 87,693,711,736.79/296,692.60
  6. Step 6: Final answer
    x = 295,570.94

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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.