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Finding the Fourth Proportional to 306,509.62, 459,745.72 and 114,347.04

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Solution

The fourth proportional to 306,509.62, 459,745.72 and 114,347.04 is: 171,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,509.62 : 459,745.72 = 114,347.04 : x
  2. Step 2: Convert to fraction form
    306,509.62/459,745.72 = 114,347.04/x
  3. Step 3: Cross multiply
    306,509.62x = 459,745.72 × 114,347.04
  4. Step 4: Simplify right side
    306,509.62x = 52,570,563,454.03
  5. Step 5: Solve for x
    x = 52,570,563,454.03/306,509.62
  6. Step 6: Final answer
    x = 171,513.58

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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.