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Finding the Fourth Proportional to 433,843.90, 598,776.24 and 297,766.06

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Solution

The fourth proportional to 433,843.90, 598,776.24 and 297,766.06 is: 410,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,843.90 : 598,776.24 = 297,766.06 : x
  2. Step 2: Convert to fraction form
    433,843.90/598,776.24 = 297,766.06/x
  3. Step 3: Cross multiply
    433,843.90x = 598,776.24 × 297,766.06
  4. Step 4: Simplify right side
    433,843.90x = 178,295,241,806.41
  5. Step 5: Solve for x
    x = 178,295,241,806.41/433,843.90
  6. Step 6: Final answer
    x = 410,966.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.