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Finding the Fourth Proportional to 516,902.76, 713,028.26 and 322,974.12

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Solution

The fourth proportional to 516,902.76, 713,028.26 and 322,974.12 is: 445,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,902.76 : 713,028.26 = 322,974.12 : x
  2. Step 2: Convert to fraction form
    516,902.76/713,028.26 = 322,974.12/x
  3. Step 3: Cross multiply
    516,902.76x = 713,028.26 × 322,974.12
  4. Step 4: Simplify right side
    516,902.76x = 230,289,674,808.63
  5. Step 5: Solve for x
    x = 230,289,674,808.63/516,902.76
  6. Step 6: Final answer
    x = 445,518.37

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Double scale
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1.5x scale

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.