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Finding the Fourth Proportional to 596,538.12, 823,258.02 and 341,905.74

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Solution

The fourth proportional to 596,538.12, 823,258.02 and 341,905.74 is: 471,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,538.12 : 823,258.02 = 341,905.74 : x
  2. Step 2: Convert to fraction form
    596,538.12/823,258.02 = 341,905.74/x
  3. Step 3: Cross multiply
    596,538.12x = 823,258.02 × 341,905.74
  4. Step 4: Simplify right side
    596,538.12x = 281,476,642,539.04
  5. Step 5: Solve for x
    x = 281,476,642,539.04/596,538.12
  6. Step 6: Final answer
    x = 471,850.22

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