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Finding the Fourth Proportional to 580,193.70, 870,093.46 and 201,025.93

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Solution

The fourth proportional to 580,193.70, 870,093.46 and 201,025.93 is: 301,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,193.70 : 870,093.46 = 201,025.93 : x
  2. Step 2: Convert to fraction form
    580,193.70/870,093.46 = 201,025.93/x
  3. Step 3: Cross multiply
    580,193.70x = 870,093.46 × 201,025.93
  4. Step 4: Simplify right side
    580,193.70x = 174,911,346,983.42
  5. Step 5: Solve for x
    x = 174,911,346,983.42/580,193.70
  6. Step 6: Final answer
    x = 301,470.61

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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.