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Finding the Fourth Proportional to 474,033.30, 711,330.60 and 174,724.14

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Solution

The fourth proportional to 474,033.30, 711,330.60 and 174,724.14 is: 262,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,033.30 : 711,330.60 = 174,724.14 : x
  2. Step 2: Convert to fraction form
    474,033.30/711,330.60 = 174,724.14/x
  3. Step 3: Cross multiply
    474,033.30x = 711,330.60 × 174,724.14
  4. Step 4: Simplify right side
    474,033.30x = 124,286,627,340.68
  5. Step 5: Solve for x
    x = 124,286,627,340.68/474,033.30
  6. Step 6: Final answer
    x = 262,189.65

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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.