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Finding the Fourth Proportional to 316,033.60, 474,050.40 and 204,059.20

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Solution

The fourth proportional to 316,033.60, 474,050.40 and 204,059.20 is: 306,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,033.60 : 474,050.40 = 204,059.20 : x
  2. Step 2: Convert to fraction form
    316,033.60/474,050.40 = 204,059.20/x
  3. Step 3: Cross multiply
    316,033.60x = 474,050.40 × 204,059.20
  4. Step 4: Simplify right side
    316,033.60x = 96,734,345,383.68
  5. Step 5: Solve for x
    x = 96,734,345,383.68/316,033.60
  6. Step 6: Final answer
    x = 306,088.80

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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.