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Finding the Fourth Proportional to 342,865.83, 473,114.43 and 197,670

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Solution

The fourth proportional to 342,865.83, 473,114.43 and 197,670 is: 272,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,865.83 : 473,114.43 = 197,670 : x
  2. Step 2: Convert to fraction form
    342,865.83/473,114.43 = 197,670/x
  3. Step 3: Cross multiply
    342,865.83x = 473,114.43 × 197,670
  4. Step 4: Simplify right side
    342,865.83x = 93,520,529,378.10
  5. Step 5: Solve for x
    x = 93,520,529,378.10/342,865.83
  6. Step 6: Final answer
    x = 272,761.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.