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Finding the Fourth Proportional to 381,477.42, 572,303.43 and 165,372.42

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Solution

The fourth proportional to 381,477.42, 572,303.43 and 165,372.42 is: 248,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,477.42 : 572,303.43 = 165,372.42 : x
  2. Step 2: Convert to fraction form
    381,477.42/572,303.43 = 165,372.42/x
  3. Step 3: Cross multiply
    381,477.42x = 572,303.43 × 165,372.42
  4. Step 4: Simplify right side
    381,477.42x = 94,643,203,193.40
  5. Step 5: Solve for x
    x = 94,643,203,193.40/381,477.42
  6. Step 6: Final answer
    x = 248,096.47

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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.