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Finding the Fourth Proportional to 295,756.32, 443,864.52 and 206,429.52

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Solution

The fourth proportional to 295,756.32, 443,864.52 and 206,429.52 is: 309,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,756.32 : 443,864.52 = 206,429.52 : x
  2. Step 2: Convert to fraction form
    295,756.32/443,864.52 = 206,429.52/x
  3. Step 3: Cross multiply
    295,756.32x = 443,864.52 × 206,429.52
  4. Step 4: Simplify right side
    295,756.32x = 91,626,739,808.63
  5. Step 5: Solve for x
    x = 91,626,739,808.63/295,756.32
  6. Step 6: Final answer
    x = 309,804.84

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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.