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Finding the Fourth Proportional to 380,953.10, 571,543.86 and 114,722.30

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Solution

The fourth proportional to 380,953.10, 571,543.86 and 114,722.30 is: 172,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,953.10 : 571,543.86 = 114,722.30 : x
  2. Step 2: Convert to fraction form
    380,953.10/571,543.86 = 114,722.30/x
  3. Step 3: Cross multiply
    380,953.10x = 571,543.86 × 114,722.30
  4. Step 4: Simplify right side
    380,953.10x = 65,568,826,170.08
  5. Step 5: Solve for x
    x = 65,568,826,170.08/380,953.10
  6. Step 6: Final answer
    x = 172,117.84

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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.