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Finding the Fourth Proportional to 334,409.16, 501,604.02 and 97,757.40

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Solution

The fourth proportional to 334,409.16, 501,604.02 and 97,757.40 is: 146,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,409.16 : 501,604.02 = 97,757.40 : x
  2. Step 2: Convert to fraction form
    334,409.16/501,604.02 = 97,757.40/x
  3. Step 3: Cross multiply
    334,409.16x = 501,604.02 × 97,757.40
  4. Step 4: Simplify right side
    334,409.16x = 49,035,504,824.75
  5. Step 5: Solve for x
    x = 49,035,504,824.75/334,409.16
  6. Step 6: Final answer
    x = 146,633.26

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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.