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Finding the Fourth Proportional to 297,254.26, 445,927.86 and 97,529.22

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Solution

The fourth proportional to 297,254.26, 445,927.86 and 97,529.22 is: 146,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,254.26 : 445,927.86 = 97,529.22 : x
  2. Step 2: Convert to fraction form
    297,254.26/445,927.86 = 97,529.22/x
  3. Step 3: Cross multiply
    297,254.26x = 445,927.86 × 97,529.22
  4. Step 4: Simplify right side
    297,254.26x = 43,490,996,362.07
  5. Step 5: Solve for x
    x = 43,490,996,362.07/297,254.26
  6. Step 6: Final answer
    x = 146,309.08

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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.