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Finding the Fourth Proportional to 381,846.57, 528,090.02 and 334,016.85

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Solution

The fourth proportional to 381,846.57, 528,090.02 and 334,016.85 is: 461,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,846.57 : 528,090.02 = 334,016.85 : x
  2. Step 2: Convert to fraction form
    381,846.57/528,090.02 = 334,016.85/x
  3. Step 3: Cross multiply
    381,846.57x = 528,090.02 × 334,016.85
  4. Step 4: Simplify right side
    381,846.57x = 176,390,963,326.75
  5. Step 5: Solve for x
    x = 176,390,963,326.75/381,846.57
  6. Step 6: Final answer
    x = 461,941.99

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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.