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Finding the Fourth Proportional to 432,152.20, 647,402.10 and 232,406.20

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Solution

The fourth proportional to 432,152.20, 647,402.10 and 232,406.20 is: 348,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,152.20 : 647,402.10 = 232,406.20 : x
  2. Step 2: Convert to fraction form
    432,152.20/647,402.10 = 232,406.20/x
  3. Step 3: Cross multiply
    432,152.20x = 647,402.10 × 232,406.20
  4. Step 4: Simplify right side
    432,152.20x = 150,460,261,933.02
  5. Step 5: Solve for x
    x = 150,460,261,933.02/432,152.20
  6. Step 6: Final answer
    x = 348,164.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.