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Finding the Fourth Proportional to 316,231, 474,346.50 and 94,615

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Solution

The fourth proportional to 316,231, 474,346.50 and 94,615 is: 141,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,231 : 474,346.50 = 94,615 : x
  2. Step 2: Convert to fraction form
    316,231/474,346.50 = 94,615/x
  3. Step 3: Cross multiply
    316,231x = 474,346.50 × 94,615
  4. Step 4: Simplify right side
    316,231x = 44,880,294,097.50
  5. Step 5: Solve for x
    x = 44,880,294,097.50/316,231
  6. Step 6: Final answer
    x = 141,922.50

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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.