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Finding the Fourth Proportional to 590,928, 815,482.80 and 322,656

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Solution

The fourth proportional to 590,928, 815,482.80 and 322,656 is: 445,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,928 : 815,482.80 = 322,656 : x
  2. Step 2: Convert to fraction form
    590,928/815,482.80 = 322,656/x
  3. Step 3: Cross multiply
    590,928x = 815,482.80 × 322,656
  4. Step 4: Simplify right side
    590,928x = 263,120,418,316.80
  5. Step 5: Solve for x
    x = 263,120,418,316.80/590,928
  6. Step 6: Final answer
    x = 445,266.46

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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.