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Finding the Fourth Proportional to 313,979.40, 470,882.70 and 127,009.80

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Solution

The fourth proportional to 313,979.40, 470,882.70 and 127,009.80 is: 190,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,979.40 : 470,882.70 = 127,009.80 : x
  2. Step 2: Convert to fraction form
    313,979.40/470,882.70 = 127,009.80/x
  3. Step 3: Cross multiply
    313,979.40x = 470,882.70 × 127,009.80
  4. Step 4: Simplify right side
    313,979.40x = 59,806,717,550.46
  5. Step 5: Solve for x
    x = 59,806,717,550.46/313,979.40
  6. Step 6: Final answer
    x = 190,479.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.