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Finding the Fourth Proportional to 601,674.81, 902,278.94 and 321,038.97

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Solution

The fourth proportional to 601,674.81, 902,278.94 and 321,038.97 is: 481,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,674.81 : 902,278.94 = 321,038.97 : x
  2. Step 2: Convert to fraction form
    601,674.81/902,278.94 = 321,038.97/x
  3. Step 3: Cross multiply
    601,674.81x = 902,278.94 × 321,038.97
  4. Step 4: Simplify right side
    601,674.81x = 289,666,699,945.10
  5. Step 5: Solve for x
    x = 289,666,699,945.10/601,674.81
  6. Step 6: Final answer
    x = 481,433.98

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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.