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Finding the Fourth Proportional to 432,921.40, 650,038.20 and 333,194.20

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Solution

The fourth proportional to 432,921.40, 650,038.20 and 333,194.20 is: 500,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,921.40 : 650,038.20 = 333,194.20 : x
  2. Step 2: Convert to fraction form
    432,921.40/650,038.20 = 333,194.20/x
  3. Step 3: Cross multiply
    432,921.40x = 650,038.20 × 333,194.20
  4. Step 4: Simplify right side
    432,921.40x = 216,588,958,018.44
  5. Step 5: Solve for x
    x = 216,588,958,018.44/432,921.40
  6. Step 6: Final answer
    x = 500,296.26

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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.