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Finding the Fourth Proportional to 852,608.40, 1,176,597.11 and 470,632.44

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Solution

The fourth proportional to 852,608.40, 1,176,597.11 and 470,632.44 is: 649,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,608.40 : 1,176,597.11 = 470,632.44 : x
  2. Step 2: Convert to fraction form
    852,608.40/1,176,597.11 = 470,632.44/x
  3. Step 3: Cross multiply
    852,608.40x = 1,176,597.11 × 470,632.44
  4. Step 4: Simplify right side
    852,608.40x = 553,744,766,423.09
  5. Step 5: Solve for x
    x = 553,744,766,423.09/852,608.40
  6. Step 6: Final answer
    x = 649,471.39

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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.