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Finding the Fourth Proportional to 314,297.02, 471,489.54 and 100,993.24

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Solution

The fourth proportional to 314,297.02, 471,489.54 and 100,993.24 is: 151,504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,297.02 : 471,489.54 = 100,993.24 : x
  2. Step 2: Convert to fraction form
    314,297.02/471,489.54 = 100,993.24/x
  3. Step 3: Cross multiply
    314,297.02x = 471,489.54 × 100,993.24
  4. Step 4: Simplify right side
    314,297.02x = 47,617,256,270.71
  5. Step 5: Solve for x
    x = 47,617,256,270.71/314,297.02
  6. Step 6: Final answer
    x = 151,504.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.