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Finding the Fourth Proportional to 384,176.06, 575,797.54 and 271,889.10

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Solution

The fourth proportional to 384,176.06, 575,797.54 and 271,889.10 is: 407,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,176.06 : 575,797.54 = 271,889.10 : x
  2. Step 2: Convert to fraction form
    384,176.06/575,797.54 = 271,889.10/x
  3. Step 3: Cross multiply
    384,176.06x = 575,797.54 × 271,889.10
  4. Step 4: Simplify right side
    384,176.06x = 156,553,074,932.81
  5. Step 5: Solve for x
    x = 156,553,074,932.81/384,176.06
  6. Step 6: Final answer
    x = 407,503.46

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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.