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Finding the Fourth Proportional to 461,707.40, 692,042.70 and 195,422.60

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Solution

The fourth proportional to 461,707.40, 692,042.70 and 195,422.60 is: 292,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,707.40 : 692,042.70 = 195,422.60 : x
  2. Step 2: Convert to fraction form
    461,707.40/692,042.70 = 195,422.60/x
  3. Step 3: Cross multiply
    461,707.40x = 692,042.70 × 195,422.60
  4. Step 4: Simplify right side
    461,707.40x = 135,240,783,745.02
  5. Step 5: Solve for x
    x = 135,240,783,745.02/461,707.40
  6. Step 6: Final answer
    x = 292,914.48

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1.5x scale

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.