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Finding the Fourth Proportional to 325,904.40, 488,419.20 and 232,300.80

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Solution

The fourth proportional to 325,904.40, 488,419.20 and 232,300.80 is: 348,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,904.40 : 488,419.20 = 232,300.80 : x
  2. Step 2: Convert to fraction form
    325,904.40/488,419.20 = 232,300.80/x
  3. Step 3: Cross multiply
    325,904.40x = 488,419.20 × 232,300.80
  4. Step 4: Simplify right side
    325,904.40x = 113,460,170,895.36
  5. Step 5: Solve for x
    x = 113,460,170,895.36/325,904.40
  6. Step 6: Final answer
    x = 348,139.43

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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.