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Finding the Fourth Proportional to 384,745.59, 577,147.40 and 114,852.42

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Solution

The fourth proportional to 384,745.59, 577,147.40 and 114,852.42 is: 172,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,745.59 : 577,147.40 = 114,852.42 : x
  2. Step 2: Convert to fraction form
    384,745.59/577,147.40 = 114,852.42/x
  3. Step 3: Cross multiply
    384,745.59x = 577,147.40 × 114,852.42
  4. Step 4: Simplify right side
    384,745.59x = 66,286,775,586.71
  5. Step 5: Solve for x
    x = 66,286,775,586.71/384,745.59
  6. Step 6: Final answer
    x = 172,287.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.