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Finding the Fourth Proportional to 342,983.34, 473,231.46 and 197,833.50

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Solution

The fourth proportional to 342,983.34, 473,231.46 and 197,833.50 is: 272,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,983.34 : 473,231.46 = 197,833.50 : x
  2. Step 2: Convert to fraction form
    342,983.34/473,231.46 = 197,833.50/x
  3. Step 3: Cross multiply
    342,983.34x = 473,231.46 × 197,833.50
  4. Step 4: Simplify right side
    342,983.34x = 93,621,036,041.91
  5. Step 5: Solve for x
    x = 93,621,036,041.91/342,983.34
  6. Step 6: Final answer
    x = 272,960.89

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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.