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Finding the Fourth Proportional to 501,094.46, 691,538.64 and 297,266.06

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Solution

The fourth proportional to 501,094.46, 691,538.64 and 297,266.06 is: 410,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,094.46 : 691,538.64 = 297,266.06 : x
  2. Step 2: Convert to fraction form
    501,094.46/691,538.64 = 297,266.06/x
  3. Step 3: Cross multiply
    501,094.46x = 691,538.64 × 297,266.06
  4. Step 4: Simplify right side
    501,094.46x = 205,570,966,850.56
  5. Step 5: Solve for x
    x = 205,570,966,850.56/501,094.46
  6. Step 6: Final answer
    x = 410,243.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.