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Finding the Fourth Proportional to 684,714.96, 944,796.42 and 430,410.60

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Solution

The fourth proportional to 684,714.96, 944,796.42 and 430,410.60 is: 593,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,714.96 : 944,796.42 = 430,410.60 : x
  2. Step 2: Convert to fraction form
    684,714.96/944,796.42 = 430,410.60/x
  3. Step 3: Cross multiply
    684,714.96x = 944,796.42 × 430,410.60
  4. Step 4: Simplify right side
    684,714.96x = 406,650,394,010.05
  5. Step 5: Solve for x
    x = 406,650,394,010.05/684,714.96
  6. Step 6: Final answer
    x = 593,897.34

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1.5x scale

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.