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Finding the Fourth Proportional to 285,308.30, 427,962.45 and 202,364.30

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Solution

The fourth proportional to 285,308.30, 427,962.45 and 202,364.30 is: 303,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,308.30 : 427,962.45 = 202,364.30 : x
  2. Step 2: Convert to fraction form
    285,308.30/427,962.45 = 202,364.30/x
  3. Step 3: Cross multiply
    285,308.30x = 427,962.45 × 202,364.30
  4. Step 4: Simplify right side
    285,308.30x = 86,604,321,620.54
  5. Step 5: Solve for x
    x = 86,604,321,620.54/285,308.30
  6. Step 6: Final answer
    x = 303,546.45

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Similar ratio
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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.