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Finding the Fourth Proportional to 433,980.90, 598,493.97 and 297,774.54

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Solution

The fourth proportional to 433,980.90, 598,493.97 and 297,774.54 is: 410,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,980.90 : 598,493.97 = 297,774.54 : x
  2. Step 2: Convert to fraction form
    433,980.90/598,493.97 = 297,774.54/x
  3. Step 3: Cross multiply
    433,980.90x = 598,493.97 × 297,774.54
  4. Step 4: Simplify right side
    433,980.90x = 178,216,266,609.52
  5. Step 5: Solve for x
    x = 178,216,266,609.52/433,980.90
  6. Step 6: Final answer
    x = 410,654.63

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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.