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Finding the Fourth Proportional to 413,575.40, 620,363.10 and 114,102.20

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Solution

The fourth proportional to 413,575.40, 620,363.10 and 114,102.20 is: 171,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,575.40 : 620,363.10 = 114,102.20 : x
  2. Step 2: Convert to fraction form
    413,575.40/620,363.10 = 114,102.20/x
  3. Step 3: Cross multiply
    413,575.40x = 620,363.10 × 114,102.20
  4. Step 4: Simplify right side
    413,575.40x = 70,784,794,508.82
  5. Step 5: Solve for x
    x = 70,784,794,508.82/413,575.40
  6. Step 6: Final answer
    x = 171,153.30

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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.