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Finding the Fourth Proportional to 649,232.14, 978,279.69 and 533,496.10

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Solution

The fourth proportional to 649,232.14, 978,279.69 and 533,496.10 is: 803,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,232.14 : 978,279.69 = 533,496.10 : x
  2. Step 2: Convert to fraction form
    649,232.14/978,279.69 = 533,496.10/x
  3. Step 3: Cross multiply
    649,232.14x = 978,279.69 × 533,496.10
  4. Step 4: Simplify right side
    649,232.14x = 521,908,399,324.21
  5. Step 5: Solve for x
    x = 521,908,399,324.21/649,232.14
  6. Step 6: Final answer
    x = 803,885.65

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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.