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Finding the Fourth Proportional to 461,299.60, 692,042.79 and 195,059.68

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Solution

The fourth proportional to 461,299.60, 692,042.79 and 195,059.68 is: 292,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,299.60 : 692,042.79 = 195,059.68 : x
  2. Step 2: Convert to fraction form
    461,299.60/692,042.79 = 195,059.68/x
  3. Step 3: Cross multiply
    461,299.60x = 692,042.79 × 195,059.68
  4. Step 4: Simplify right side
    461,299.60x = 134,989,645,163.71
  5. Step 5: Solve for x
    x = 134,989,645,163.71/461,299.60
  6. Step 6: Final answer
    x = 292,629.01

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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.