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Finding the Fourth Proportional to 613,065.17, 846,147.01 and 405,968.53

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Solution

The fourth proportional to 613,065.17, 846,147.01 and 405,968.53 is: 560,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,065.17 : 846,147.01 = 405,968.53 : x
  2. Step 2: Convert to fraction form
    613,065.17/846,147.01 = 405,968.53/x
  3. Step 3: Cross multiply
    613,065.17x = 846,147.01 × 405,968.53
  4. Step 4: Simplify right side
    613,065.17x = 343,509,057,813.60
  5. Step 5: Solve for x
    x = 343,509,057,813.60/613,065.17
  6. Step 6: Final answer
    x = 560,314.10

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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.