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Finding the Fourth Proportional to 295,949.60, 443,956.80 and 286,618.40

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Solution

The fourth proportional to 295,949.60, 443,956.80 and 286,618.40 is: 429,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,949.60 : 443,956.80 = 286,618.40 : x
  2. Step 2: Convert to fraction form
    295,949.60/443,956.80 = 286,618.40/x
  3. Step 3: Cross multiply
    295,949.60x = 443,956.80 × 286,618.40
  4. Step 4: Simplify right side
    295,949.60x = 127,246,187,685.12
  5. Step 5: Solve for x
    x = 127,246,187,685.12/295,949.60
  6. Step 6: Final answer
    x = 429,958.98

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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.