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Finding the Fourth Proportional to 415,698.60, 622,673.10 and 345,714.60

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Solution

The fourth proportional to 415,698.60, 622,673.10 and 345,714.60 is: 517,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,698.60 : 622,673.10 = 345,714.60 : x
  2. Step 2: Convert to fraction form
    415,698.60/622,673.10 = 345,714.60/x
  3. Step 3: Cross multiply
    415,698.60x = 622,673.10 × 345,714.60
  4. Step 4: Simplify right side
    415,698.60x = 215,267,181,697.26
  5. Step 5: Solve for x
    x = 215,267,181,697.26/415,698.60
  6. Step 6: Final answer
    x = 517,844.37

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1.5x scale

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.