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Finding the Fourth Proportional to 433,546.74, 598,455 and 326,427.48

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Solution

The fourth proportional to 433,546.74, 598,455 and 326,427.48 is: 450,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,546.74 : 598,455 = 326,427.48 : x
  2. Step 2: Convert to fraction form
    433,546.74/598,455 = 326,427.48/x
  3. Step 3: Cross multiply
    433,546.74x = 598,455 × 326,427.48
  4. Step 4: Simplify right side
    433,546.74x = 195,352,157,543.40
  5. Step 5: Solve for x
    x = 195,352,157,543.40/433,546.74
  6. Step 6: Final answer
    x = 450,590.77

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