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Finding the Fourth Proportional to 468,616.10, 646,693.29 and 253,756.18

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Solution

The fourth proportional to 468,616.10, 646,693.29 and 253,756.18 is: 350,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,616.10 : 646,693.29 = 253,756.18 : x
  2. Step 2: Convert to fraction form
    468,616.10/646,693.29 = 253,756.18/x
  3. Step 3: Cross multiply
    468,616.10x = 646,693.29 × 253,756.18
  4. Step 4: Simplify right side
    468,616.10x = 164,102,418,902.03
  5. Step 5: Solve for x
    x = 164,102,418,902.03/468,616.10
  6. Step 6: Final answer
    x = 350,185.19

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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.