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Finding the Fourth Proportional to 512,181.96, 706,516.20 and 297,294.36

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Solution

The fourth proportional to 512,181.96, 706,516.20 and 297,294.36 is: 410,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,181.96 : 706,516.20 = 297,294.36 : x
  2. Step 2: Convert to fraction form
    512,181.96/706,516.20 = 297,294.36/x
  3. Step 3: Cross multiply
    512,181.96x = 706,516.20 × 297,294.36
  4. Step 4: Simplify right side
    512,181.96x = 210,043,281,508.63
  5. Step 5: Solve for x
    x = 210,043,281,508.63/512,181.96
  6. Step 6: Final answer
    x = 410,095.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.