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Finding the Fourth Proportional to 590,678.26, 815,136 and 322,406.26

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Solution

The fourth proportional to 590,678.26, 815,136 and 322,406.26 is: 444,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,678.26 : 815,136 = 322,406.26 : x
  2. Step 2: Convert to fraction form
    590,678.26/815,136 = 322,406.26/x
  3. Step 3: Cross multiply
    590,678.26x = 815,136 × 322,406.26
  4. Step 4: Simplify right side
    590,678.26x = 262,804,949,151.36
  5. Step 5: Solve for x
    x = 262,804,949,151.36/590,678.26
  6. Step 6: Final answer
    x = 444,920.64

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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.