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Finding the Fourth Proportional to 852,679.71, 1,176,698.21 and 470,706.75

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Solution

The fourth proportional to 852,679.71, 1,176,698.21 and 470,706.75 is: 649,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,679.71 : 1,176,698.21 = 470,706.75 : x
  2. Step 2: Convert to fraction form
    852,679.71/1,176,698.21 = 470,706.75/x
  3. Step 3: Cross multiply
    852,679.71x = 1,176,698.21 × 470,706.75
  4. Step 4: Simplify right side
    852,679.71x = 553,879,787,806.38
  5. Step 5: Solve for x
    x = 553,879,787,806.38/852,679.71
  6. Step 6: Final answer
    x = 649,575.43

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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.