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Finding the Fourth Proportional to 506,796.01, 699,074.42 and 334,714.31

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Solution

The fourth proportional to 506,796.01, 699,074.42 and 334,714.31 is: 461,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,796.01 : 699,074.42 = 334,714.31 : x
  2. Step 2: Convert to fraction form
    506,796.01/699,074.42 = 334,714.31/x
  3. Step 3: Cross multiply
    506,796.01x = 699,074.42 × 334,714.31
  4. Step 4: Simplify right side
    506,796.01x = 233,990,209,581.54
  5. Step 5: Solve for x
    x = 233,990,209,581.54/506,796.01
  6. Step 6: Final answer
    x = 461,704.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.