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Finding the Fourth Proportional to 325,828.10, 488,742.15 and 201,239.30

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Solution

The fourth proportional to 325,828.10, 488,742.15 and 201,239.30 is: 301,858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,828.10 : 488,742.15 = 201,239.30 : x
  2. Step 2: Convert to fraction form
    325,828.10/488,742.15 = 201,239.30/x
  3. Step 3: Cross multiply
    325,828.10x = 488,742.15 × 201,239.30
  4. Step 4: Simplify right side
    325,828.10x = 98,354,128,146.50
  5. Step 5: Solve for x
    x = 98,354,128,146.50/325,828.10
  6. Step 6: Final answer
    x = 301,858.95

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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.