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Finding the Fourth Proportional to 384,219.12, 576,374.64 and 117,944.64

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Solution

The fourth proportional to 384,219.12, 576,374.64 and 117,944.64 is: 176,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,219.12 : 576,374.64 = 117,944.64 : x
  2. Step 2: Convert to fraction form
    384,219.12/576,374.64 = 117,944.64/x
  3. Step 3: Cross multiply
    384,219.12x = 576,374.64 × 117,944.64
  4. Step 4: Simplify right side
    384,219.12x = 67,980,299,419.93
  5. Step 5: Solve for x
    x = 67,980,299,419.93/384,219.12
  6. Step 6: Final answer
    x = 176,931.07

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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.