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Finding the Fourth Proportional to 380,857.60, 571,288.44 and 114,616.30

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Solution

The fourth proportional to 380,857.60, 571,288.44 and 114,616.30 is: 171,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,857.60 : 571,288.44 = 114,616.30 : x
  2. Step 2: Convert to fraction form
    380,857.60/571,288.44 = 114,616.30/x
  3. Step 3: Cross multiply
    380,857.60x = 571,288.44 × 114,616.30
  4. Step 4: Simplify right side
    380,857.60x = 65,478,967,225.57
  5. Step 5: Solve for x
    x = 65,478,967,225.57/380,857.60
  6. Step 6: Final answer
    x = 171,925.06

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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.