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Finding the Fourth Proportional to 847,645.38, 1,169,751.10 and 465,696.76

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Solution

The fourth proportional to 847,645.38, 1,169,751.10 and 465,696.76 is: 642,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,645.38 : 1,169,751.10 = 465,696.76 : x
  2. Step 2: Convert to fraction form
    847,645.38/1,169,751.10 = 465,696.76/x
  3. Step 3: Cross multiply
    847,645.38x = 1,169,751.10 × 465,696.76
  4. Step 4: Simplify right side
    847,645.38x = 544,749,297,276.44
  5. Step 5: Solve for x
    x = 544,749,297,276.44/847,645.38
  6. Step 6: Final answer
    x = 642,661.79

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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.