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Finding the Fourth Proportional to 507,362.13, 700,164.89 and 306,119.25

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Solution

The fourth proportional to 507,362.13, 700,164.89 and 306,119.25 is: 422,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,362.13 : 700,164.89 = 306,119.25 : x
  2. Step 2: Convert to fraction form
    507,362.13/700,164.89 = 306,119.25/x
  3. Step 3: Cross multiply
    507,362.13x = 700,164.89 × 306,119.25
  4. Step 4: Simplify right side
    507,362.13x = 214,333,949,472.54
  5. Step 5: Solve for x
    x = 214,333,949,472.54/507,362.13
  6. Step 6: Final answer
    x = 422,447.67

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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.