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Finding the Fourth Proportional to 433,845.90, 598,779 and 297,768.06

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Solution

The fourth proportional to 433,845.90, 598,779 and 297,768.06 is: 410,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,845.90 : 598,779 = 297,768.06 : x
  2. Step 2: Convert to fraction form
    433,845.90/598,779 = 297,768.06/x
  3. Step 3: Cross multiply
    433,845.90x = 598,779 × 297,768.06
  4. Step 4: Simplify right side
    433,845.90x = 178,297,261,198.74
  5. Step 5: Solve for x
    x = 178,297,261,198.74/433,845.90
  6. Step 6: Final answer
    x = 410,969.10

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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.