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Finding the Fourth Proportional to 461,278.80, 692,015.40 and 194,902.20

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Solution

The fourth proportional to 461,278.80, 692,015.40 and 194,902.20 is: 292,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,278.80 : 692,015.40 = 194,902.20 : x
  2. Step 2: Convert to fraction form
    461,278.80/692,015.40 = 194,902.20/x
  3. Step 3: Cross multiply
    461,278.80x = 692,015.40 × 194,902.20
  4. Step 4: Simplify right side
    461,278.80x = 134,875,323,893.88
  5. Step 5: Solve for x
    x = 134,875,323,893.88/461,278.80
  6. Step 6: Final answer
    x = 292,394.37

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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.