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Finding the Fourth Proportional to 335,094.10, 502,714.05 and 110,416.30

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Solution

The fourth proportional to 335,094.10, 502,714.05 and 110,416.30 is: 165,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,094.10 : 502,714.05 = 110,416.30 : x
  2. Step 2: Convert to fraction form
    335,094.10/502,714.05 = 110,416.30/x
  3. Step 3: Cross multiply
    335,094.10x = 502,714.05 × 110,416.30
  4. Step 4: Simplify right side
    335,094.10x = 55,507,825,359.02
  5. Step 5: Solve for x
    x = 55,507,825,359.02/335,094.10
  6. Step 6: Final answer
    x = 165,648.47

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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.