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Finding the Fourth Proportional to 329,697.64, 494,541.01 and 105,055.03

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Solution

The fourth proportional to 329,697.64, 494,541.01 and 105,055.03 is: 157,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,697.64 : 494,541.01 = 105,055.03 : x
  2. Step 2: Convert to fraction form
    329,697.64/494,541.01 = 105,055.03/x
  3. Step 3: Cross multiply
    329,697.64x = 494,541.01 × 105,055.03
  4. Step 4: Simplify right side
    329,697.64x = 51,954,018,609.48
  5. Step 5: Solve for x
    x = 51,954,018,609.48/329,697.64
  6. Step 6: Final answer
    x = 157,580.80

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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.