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Finding the Fourth Proportional to 421,514.83, 581,690.05 and 227,922.08

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Solution

The fourth proportional to 421,514.83, 581,690.05 and 227,922.08 is: 314,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,514.83 : 581,690.05 = 227,922.08 : x
  2. Step 2: Convert to fraction form
    421,514.83/581,690.05 = 227,922.08/x
  3. Step 3: Cross multiply
    421,514.83x = 581,690.05 × 227,922.08
  4. Step 4: Simplify right side
    421,514.83x = 132,580,007,098.63
  5. Step 5: Solve for x
    x = 132,580,007,098.63/421,514.83
  6. Step 6: Final answer
    x = 314,532.25

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