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Finding the Fourth Proportional to 317,901.84, 477,049.32 and 184,844.40

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Solution

The fourth proportional to 317,901.84, 477,049.32 and 184,844.40 is: 277,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,901.84 : 477,049.32 = 184,844.40 : x
  2. Step 2: Convert to fraction form
    317,901.84/477,049.32 = 184,844.40/x
  3. Step 3: Cross multiply
    317,901.84x = 477,049.32 × 184,844.40
  4. Step 4: Simplify right side
    317,901.84x = 88,179,895,325.81
  5. Step 5: Solve for x
    x = 88,179,895,325.81/317,901.84
  6. Step 6: Final answer
    x = 277,380.89

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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.