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Finding the Fourth Proportional to 380,050.52, 570,157.04 and 140,165.04

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Solution

The fourth proportional to 380,050.52, 570,157.04 and 140,165.04 is: 210,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,050.52 : 570,157.04 = 140,165.04 : x
  2. Step 2: Convert to fraction form
    380,050.52/570,157.04 = 140,165.04/x
  3. Step 3: Cross multiply
    380,050.52x = 570,157.04 × 140,165.04
  4. Step 4: Simplify right side
    380,050.52x = 79,916,084,317.88
  5. Step 5: Solve for x
    x = 79,916,084,317.88/380,050.52
  6. Step 6: Final answer
    x = 210,277.53

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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.