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Finding the Fourth Proportional to 365,467.80, 502,406.79 and 314,293.08

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Solution

The fourth proportional to 365,467.80, 502,406.79 and 314,293.08 is: 432,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,467.80 : 502,406.79 = 314,293.08 : x
  2. Step 2: Convert to fraction form
    365,467.80/502,406.79 = 314,293.08/x
  3. Step 3: Cross multiply
    365,467.80x = 502,406.79 × 314,293.08
  4. Step 4: Simplify right side
    365,467.80x = 157,902,977,442.01
  5. Step 5: Solve for x
    x = 157,902,977,442.01/365,467.80
  6. Step 6: Final answer
    x = 432,057.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.