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Finding the Fourth Proportional to 296,210, 408,769.80 and 162,074

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Solution

The fourth proportional to 296,210, 408,769.80 and 162,074 is: 223,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,210 : 408,769.80 = 162,074 : x
  2. Step 2: Convert to fraction form
    296,210/408,769.80 = 162,074/x
  3. Step 3: Cross multiply
    296,210x = 408,769.80 × 162,074
  4. Step 4: Simplify right side
    296,210x = 66,250,956,565.20
  5. Step 5: Solve for x
    x = 66,250,956,565.20/296,210
  6. Step 6: Final answer
    x = 223,662.12

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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.