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Finding the Fourth Proportional to 461,843.60, 692,117.40 and 367,235.60

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Solution

The fourth proportional to 461,843.60, 692,117.40 and 367,235.60 is: 550,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,843.60 : 692,117.40 = 367,235.60 : x
  2. Step 2: Convert to fraction form
    461,843.60/692,117.40 = 367,235.60/x
  3. Step 3: Cross multiply
    461,843.60x = 692,117.40 × 367,235.60
  4. Step 4: Simplify right side
    461,843.60x = 254,170,148,659.44
  5. Step 5: Solve for x
    x = 254,170,148,659.44/461,843.60
  6. Step 6: Final answer
    x = 550,338.14

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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.