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Finding the Fourth Proportional to 646,657.72, 892,364.52 and 360,162.34

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Solution

The fourth proportional to 646,657.72, 892,364.52 and 360,162.34 is: 497,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,657.72 : 892,364.52 = 360,162.34 : x
  2. Step 2: Convert to fraction form
    646,657.72/892,364.52 = 360,162.34/x
  3. Step 3: Cross multiply
    646,657.72x = 892,364.52 × 360,162.34
  4. Step 4: Simplify right side
    646,657.72x = 321,396,093,656.18
  5. Step 5: Solve for x
    x = 321,396,093,656.18/646,657.72
  6. Step 6: Final answer
    x = 497,011.14

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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.