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Finding the Fourth Proportional to 461,203.90, 691,805.85 and 162,022.30

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Solution

The fourth proportional to 461,203.90, 691,805.85 and 162,022.30 is: 243,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,203.90 : 691,805.85 = 162,022.30 : x
  2. Step 2: Convert to fraction form
    461,203.90/691,805.85 = 162,022.30/x
  3. Step 3: Cross multiply
    461,203.90x = 691,805.85 × 162,022.30
  4. Step 4: Simplify right side
    461,203.90x = 112,087,974,970.46
  5. Step 5: Solve for x
    x = 112,087,974,970.46/461,203.90
  6. Step 6: Final answer
    x = 243,033.45

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Similar ratio
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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.