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Finding the Fourth Proportional to 461,662.80, 692,494.20 and 304,069.20

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Solution

The fourth proportional to 461,662.80, 692,494.20 and 304,069.20 is: 456,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,662.80 : 692,494.20 = 304,069.20 : x
  2. Step 2: Convert to fraction form
    461,662.80/692,494.20 = 304,069.20/x
  3. Step 3: Cross multiply
    461,662.80x = 692,494.20 × 304,069.20
  4. Step 4: Simplify right side
    461,662.80x = 210,566,157,398.64
  5. Step 5: Solve for x
    x = 210,566,157,398.64/461,662.80
  6. Step 6: Final answer
    x = 456,103.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.