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Finding the Fourth Proportional to 393,564.02, 543,258.58 and 232,419.72

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Solution

The fourth proportional to 393,564.02, 543,258.58 and 232,419.72 is: 320,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,564.02 : 543,258.58 = 232,419.72 : x
  2. Step 2: Convert to fraction form
    393,564.02/543,258.58 = 232,419.72/x
  3. Step 3: Cross multiply
    393,564.02x = 543,258.58 × 232,419.72
  4. Step 4: Simplify right side
    393,564.02x = 126,264,007,051.20
  5. Step 5: Solve for x
    x = 126,264,007,051.20/393,564.02
  6. Step 6: Final answer
    x = 320,822.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.