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Finding the Fourth Proportional to 360,714.15, 541,070.72 and 144,670.34

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Solution

The fourth proportional to 360,714.15, 541,070.72 and 144,670.34 is: 217,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,714.15 : 541,070.72 = 144,670.34 : x
  2. Step 2: Convert to fraction form
    360,714.15/541,070.72 = 144,670.34/x
  3. Step 3: Cross multiply
    360,714.15x = 541,070.72 × 144,670.34
  4. Step 4: Simplify right side
    360,714.15x = 78,276,885,026.44
  5. Step 5: Solve for x
    x = 78,276,885,026.44/360,714.15
  6. Step 6: Final answer
    x = 217,005.31

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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.