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Finding the Fourth Proportional to 432,012.20, 646,884.30 and 304,966.40

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Solution

The fourth proportional to 432,012.20, 646,884.30 and 304,966.40 is: 456,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,012.20 : 646,884.30 = 304,966.40 : x
  2. Step 2: Convert to fraction form
    432,012.20/646,884.30 = 304,966.40/x
  3. Step 3: Cross multiply
    432,012.20x = 646,884.30 × 304,966.40
  4. Step 4: Simplify right side
    432,012.20x = 197,277,976,187.52
  5. Step 5: Solve for x
    x = 197,277,976,187.52/432,012.20
  6. Step 6: Final answer
    x = 456,649.09

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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.