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Finding the Fourth Proportional to 295,942.60, 443,946.30 and 286,611.40

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Solution

The fourth proportional to 295,942.60, 443,946.30 and 286,611.40 is: 429,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,942.60 : 443,946.30 = 286,611.40 : x
  2. Step 2: Convert to fraction form
    295,942.60/443,946.30 = 286,611.40/x
  3. Step 3: Cross multiply
    295,942.60x = 443,946.30 × 286,611.40
  4. Step 4: Simplify right side
    295,942.60x = 127,240,070,567.82
  5. Step 5: Solve for x
    x = 127,240,070,567.82/295,942.60
  6. Step 6: Final answer
    x = 429,948.48

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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.