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Finding the Fourth Proportional to 434,030.40, 598,933.44 and 243,000

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Solution

The fourth proportional to 434,030.40, 598,933.44 and 243,000 is: 335,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,030.40 : 598,933.44 = 243,000 : x
  2. Step 2: Convert to fraction form
    434,030.40/598,933.44 = 243,000/x
  3. Step 3: Cross multiply
    434,030.40x = 598,933.44 × 243,000
  4. Step 4: Simplify right side
    434,030.40x = 145,540,825,920
  5. Step 5: Solve for x
    x = 145,540,825,920/434,030.40
  6. Step 6: Final answer
    x = 335,324.04

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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.