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Finding the Fourth Proportional to 798,502.60, 1,198,094.10 and 419,714.20

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Solution

The fourth proportional to 798,502.60, 1,198,094.10 and 419,714.20 is: 629,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,502.60 : 1,198,094.10 = 419,714.20 : x
  2. Step 2: Convert to fraction form
    798,502.60/1,198,094.10 = 419,714.20/x
  3. Step 3: Cross multiply
    798,502.60x = 1,198,094.10 × 419,714.20
  4. Step 4: Simplify right side
    798,502.60x = 502,857,106,706.22
  5. Step 5: Solve for x
    x = 502,857,106,706.22/798,502.60
  6. Step 6: Final answer
    x = 629,750.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.