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Finding the Fourth Proportional to 827,858, 1,142,445.48 and 470,162

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Solution

The fourth proportional to 827,858, 1,142,445.48 and 470,162 is: 648,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,858 : 1,142,445.48 = 470,162 : x
  2. Step 2: Convert to fraction form
    827,858/1,142,445.48 = 470,162/x
  3. Step 3: Cross multiply
    827,858x = 1,142,445.48 × 470,162
  4. Step 4: Simplify right side
    827,858x = 537,134,451,767.76
  5. Step 5: Solve for x
    x = 537,134,451,767.76/827,858
  6. Step 6: Final answer
    x = 648,824.38

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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.