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Finding the Fourth Proportional to 384,051.40, 576,077.10 and 321,843.40

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Solution

The fourth proportional to 384,051.40, 576,077.10 and 321,843.40 is: 482,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,051.40 : 576,077.10 = 321,843.40 : x
  2. Step 2: Convert to fraction form
    384,051.40/576,077.10 = 321,843.40/x
  3. Step 3: Cross multiply
    384,051.40x = 576,077.10 × 321,843.40
  4. Step 4: Simplify right side
    384,051.40x = 185,406,612,526.14
  5. Step 5: Solve for x
    x = 185,406,612,526.14/384,051.40
  6. Step 6: Final answer
    x = 482,765.10

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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.