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Finding the Fourth Proportional to 512,455.65, 768,683.48 and 228,145.65

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Solution

The fourth proportional to 512,455.65, 768,683.48 and 228,145.65 is: 342,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,455.65 : 768,683.48 = 228,145.65 : x
  2. Step 2: Convert to fraction form
    512,455.65/768,683.48 = 228,145.65/x
  3. Step 3: Cross multiply
    512,455.65x = 768,683.48 × 228,145.65
  4. Step 4: Simplify right side
    512,455.65x = 175,371,791,048.13
  5. Step 5: Solve for x
    x = 175,371,791,048.13/512,455.65
  6. Step 6: Final answer
    x = 342,218.48

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Similar ratio
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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.