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Finding the Fourth Proportional to 519,580.42, 714,268.67 and 446,714.98

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Solution

The fourth proportional to 519,580.42, 714,268.67 and 446,714.98 is: 614,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,580.42 : 714,268.67 = 446,714.98 : x
  2. Step 2: Convert to fraction form
    519,580.42/714,268.67 = 446,714.98/x
  3. Step 3: Cross multiply
    519,580.42x = 714,268.67 × 446,714.98
  4. Step 4: Simplify right side
    519,580.42x = 319,074,514,633.68
  5. Step 5: Solve for x
    x = 319,074,514,633.68/519,580.42
  6. Step 6: Final answer
    x = 614,100.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.