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Finding the Fourth Proportional to 512,586.30, 768,875.40 and 133,506.30

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Solution

The fourth proportional to 512,586.30, 768,875.40 and 133,506.30 is: 200,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,586.30 : 768,875.40 = 133,506.30 : x
  2. Step 2: Convert to fraction form
    512,586.30/768,875.40 = 133,506.30/x
  3. Step 3: Cross multiply
    512,586.30x = 768,875.40 × 133,506.30
  4. Step 4: Simplify right side
    512,586.30x = 102,649,709,815.02
  5. Step 5: Solve for x
    x = 102,649,709,815.02/512,586.30
  6. Step 6: Final answer
    x = 200,258.40

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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.