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Finding the Fourth Proportional to 432,993.40, 650,146.20 and 333,266.20

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Solution

The fourth proportional to 432,993.40, 650,146.20 and 333,266.20 is: 500,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,993.40 : 650,146.20 = 333,266.20 : x
  2. Step 2: Convert to fraction form
    432,993.40/650,146.20 = 333,266.20/x
  3. Step 3: Cross multiply
    432,993.40x = 650,146.20 × 333,266.20
  4. Step 4: Simplify right side
    432,993.40x = 216,671,753,518.44
  5. Step 5: Solve for x
    x = 216,671,753,518.44/432,993.40
  6. Step 6: Final answer
    x = 500,404.29

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1.5x scale

Why These Related Problems?

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