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Finding the Fourth Proportional to 411,714.12, 617,484.60 and 116,157

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Solution

The fourth proportional to 411,714.12, 617,484.60 and 116,157 is: 174,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,714.12 : 617,484.60 = 116,157 : x
  2. Step 2: Convert to fraction form
    411,714.12/617,484.60 = 116,157/x
  3. Step 3: Cross multiply
    411,714.12x = 617,484.60 × 116,157
  4. Step 4: Simplify right side
    411,714.12x = 71,725,158,682.20
  5. Step 5: Solve for x
    x = 71,725,158,682.20/411,714.12
  6. Step 6: Final answer
    x = 174,211.07

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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.