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Finding the Fourth Proportional to 461,351.60, 692,124.60 and 145,840.40

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Solution

The fourth proportional to 461,351.60, 692,124.60 and 145,840.40 is: 218,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,351.60 : 692,124.60 = 145,840.40 : x
  2. Step 2: Convert to fraction form
    461,351.60/692,124.60 = 145,840.40/x
  3. Step 3: Cross multiply
    461,351.60x = 692,124.60 × 145,840.40
  4. Step 4: Simplify right side
    461,351.60x = 100,939,728,513.84
  5. Step 5: Solve for x
    x = 100,939,728,513.84/461,351.60
  6. Step 6: Final answer
    x = 218,791.33

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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.