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Finding the Fourth Proportional to 325,905.40, 488,420.70 and 232,301.80

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Solution

The fourth proportional to 325,905.40, 488,420.70 and 232,301.80 is: 348,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,905.40 : 488,420.70 = 232,301.80 : x
  2. Step 2: Convert to fraction form
    325,905.40/488,420.70 = 232,301.80/x
  3. Step 3: Cross multiply
    325,905.40x = 488,420.70 × 232,301.80
  4. Step 4: Simplify right side
    325,905.40x = 113,461,007,767.26
  5. Step 5: Solve for x
    x = 113,461,007,767.26/325,905.40
  6. Step 6: Final answer
    x = 348,140.93

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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.