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Finding the Fourth Proportional to 343,114.33, 473,384.35 and 207,096.60

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Solution

The fourth proportional to 343,114.33, 473,384.35 and 207,096.60 is: 285,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,114.33 : 473,384.35 = 207,096.60 : x
  2. Step 2: Convert to fraction form
    343,114.33/473,384.35 = 207,096.60/x
  3. Step 3: Cross multiply
    343,114.33x = 473,384.35 × 207,096.60
  4. Step 4: Simplify right side
    343,114.33x = 98,036,288,749.49
  5. Step 5: Solve for x
    x = 98,036,288,749.49/343,114.33
  6. Step 6: Final answer
    x = 285,724.85

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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.