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Finding the Fourth Proportional to 295,974.60, 443,994.30 and 286,643.40

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Solution

The fourth proportional to 295,974.60, 443,994.30 and 286,643.40 is: 429,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,974.60 : 443,994.30 = 286,643.40 : x
  2. Step 2: Convert to fraction form
    295,974.60/443,994.30 = 286,643.40/x
  3. Step 3: Cross multiply
    295,974.60x = 443,994.30 × 286,643.40
  4. Step 4: Simplify right side
    295,974.60x = 127,268,035,732.62
  5. Step 5: Solve for x
    x = 127,268,035,732.62/295,974.60
  6. Step 6: Final answer
    x = 429,996.48

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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.