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Finding the Fourth Proportional to 707,841.51, 977,034.74 and 481,618.23

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Solution

The fourth proportional to 707,841.51, 977,034.74 and 481,618.23 is: 664,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,841.51 : 977,034.74 = 481,618.23 : x
  2. Step 2: Convert to fraction form
    707,841.51/977,034.74 = 481,618.23/x
  3. Step 3: Cross multiply
    707,841.51x = 977,034.74 × 481,618.23
  4. Step 4: Simplify right side
    707,841.51x = 470,557,739,719.22
  5. Step 5: Solve for x
    x = 470,557,739,719.22/707,841.51
  6. Step 6: Final answer
    x = 664,778.39

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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.