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Finding the Fourth Proportional to 384,323.44, 575,795.04 and 234,486.40

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Solution

The fourth proportional to 384,323.44, 575,795.04 and 234,486.40 is: 351,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,323.44 : 575,795.04 = 234,486.40 : x
  2. Step 2: Convert to fraction form
    384,323.44/575,795.04 = 234,486.40/x
  3. Step 3: Cross multiply
    384,323.44x = 575,795.04 × 234,486.40
  4. Step 4: Simplify right side
    384,323.44x = 135,016,106,067.46
  5. Step 5: Solve for x
    x = 135,016,106,067.46/384,323.44
  6. Step 6: Final answer
    x = 351,308.54

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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.