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Finding the Fourth Proportional to 380,086.70, 570,130.05 and 202,502.30

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Solution

The fourth proportional to 380,086.70, 570,130.05 and 202,502.30 is: 303,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,086.70 : 570,130.05 = 202,502.30 : x
  2. Step 2: Convert to fraction form
    380,086.70/570,130.05 = 202,502.30/x
  3. Step 3: Cross multiply
    380,086.70x = 570,130.05 × 202,502.30
  4. Step 4: Simplify right side
    380,086.70x = 115,452,646,424.12
  5. Step 5: Solve for x
    x = 115,452,646,424.12/380,086.70
  6. Step 6: Final answer
    x = 303,753.45

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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.