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Finding the Fourth Proportional to 316,984.65, 437,483.61 and 196,164.81

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Solution

The fourth proportional to 316,984.65, 437,483.61 and 196,164.81 is: 270,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,984.65 : 437,483.61 = 196,164.81 : x
  2. Step 2: Convert to fraction form
    316,984.65/437,483.61 = 196,164.81/x
  3. Step 3: Cross multiply
    316,984.65x = 437,483.61 × 196,164.81
  4. Step 4: Simplify right side
    316,984.65x = 85,818,889,233.76
  5. Step 5: Solve for x
    x = 85,818,889,233.76/316,984.65
  6. Step 6: Final answer
    x = 270,735.16

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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.