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Finding the Fourth Proportional to 286,626.80, 430,134.60 and 186,543.20

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Solution

The fourth proportional to 286,626.80, 430,134.60 and 186,543.20 is: 279,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,626.80 : 430,134.60 = 186,543.20 : x
  2. Step 2: Convert to fraction form
    286,626.80/430,134.60 = 186,543.20/x
  3. Step 3: Cross multiply
    286,626.80x = 430,134.60 × 186,543.20
  4. Step 4: Simplify right side
    286,626.80x = 80,238,684,714.72
  5. Step 5: Solve for x
    x = 80,238,684,714.72/286,626.80
  6. Step 6: Final answer
    x = 279,941.32

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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.