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Finding the Fourth Proportional to 296,857.40, 445,577.70 and 147,266.60

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Solution

The fourth proportional to 296,857.40, 445,577.70 and 147,266.60 is: 221,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,857.40 : 445,577.70 = 147,266.60 : x
  2. Step 2: Convert to fraction form
    296,857.40/445,577.70 = 147,266.60/x
  3. Step 3: Cross multiply
    296,857.40x = 445,577.70 × 147,266.60
  4. Step 4: Simplify right side
    296,857.40x = 65,618,712,914.82
  5. Step 5: Solve for x
    x = 65,618,712,914.82/296,857.40
  6. Step 6: Final answer
    x = 221,044.56

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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.