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Finding the Fourth Proportional to 380,502.08, 570,585.62 and 114,200.30

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Solution

The fourth proportional to 380,502.08, 570,585.62 and 114,200.30 is: 171,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,502.08 : 570,585.62 = 114,200.30 : x
  2. Step 2: Convert to fraction form
    380,502.08/570,585.62 = 114,200.30/x
  3. Step 3: Cross multiply
    380,502.08x = 570,585.62 × 114,200.30
  4. Step 4: Simplify right side
    380,502.08x = 65,161,045,555.76
  5. Step 5: Solve for x
    x = 65,161,045,555.76/380,502.08
  6. Step 6: Final answer
    x = 171,250.17

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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.