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Finding the Fourth Proportional to 401,311.80, 598,430.70 and 397,714.32

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Solution

The fourth proportional to 401,311.80, 598,430.70 and 397,714.32 is: 593,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,311.80 : 598,430.70 = 397,714.32 : x
  2. Step 2: Convert to fraction form
    401,311.80/598,430.70 = 397,714.32/x
  3. Step 3: Cross multiply
    401,311.80x = 598,430.70 × 397,714.32
  4. Step 4: Simplify right side
    401,311.80x = 238,004,458,917.62
  5. Step 5: Solve for x
    x = 238,004,458,917.62/401,311.80
  6. Step 6: Final answer
    x = 593,066.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.