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Finding the Fourth Proportional to 305,210.20, 457,815.30 and 200,090.20

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Solution

The fourth proportional to 305,210.20, 457,815.30 and 200,090.20 is: 300,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,210.20 : 457,815.30 = 200,090.20 : x
  2. Step 2: Convert to fraction form
    305,210.20/457,815.30 = 200,090.20/x
  3. Step 3: Cross multiply
    305,210.20x = 457,815.30 × 200,090.20
  4. Step 4: Simplify right side
    305,210.20x = 91,604,354,940.06
  5. Step 5: Solve for x
    x = 91,604,354,940.06/305,210.20
  6. Step 6: Final answer
    x = 300,135.30

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1.5x scale

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.