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Finding the Fourth Proportional to 461,380.80, 692,168.40 and 195,004.20

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Solution

The fourth proportional to 461,380.80, 692,168.40 and 195,004.20 is: 292,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,380.80 : 692,168.40 = 195,004.20 : x
  2. Step 2: Convert to fraction form
    461,380.80/692,168.40 = 195,004.20/x
  3. Step 3: Cross multiply
    461,380.80x = 692,168.40 × 195,004.20
  4. Step 4: Simplify right side
    461,380.80x = 134,975,745,107.28
  5. Step 5: Solve for x
    x = 134,975,745,107.28/461,380.80
  6. Step 6: Final answer
    x = 292,547.38

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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.