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Finding the Fourth Proportional to 649,231.14, 978,278.18 and 533,495.10

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Solution

The fourth proportional to 649,231.14, 978,278.18 and 533,495.10 is: 803,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,231.14 : 978,278.18 = 533,495.10 : x
  2. Step 2: Convert to fraction form
    649,231.14/978,278.18 = 533,495.10/x
  3. Step 3: Cross multiply
    649,231.14x = 978,278.18 × 533,495.10
  4. Step 4: Simplify right side
    649,231.14x = 521,906,615,466.92
  5. Step 5: Solve for x
    x = 521,906,615,466.92/649,231.14
  6. Step 6: Final answer
    x = 803,884.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.