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Finding the Fourth Proportional to 421,684.74, 581,938.74 and 240,393.42

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Solution

The fourth proportional to 421,684.74, 581,938.74 and 240,393.42 is: 331,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,684.74 : 581,938.74 = 240,393.42 : x
  2. Step 2: Convert to fraction form
    421,684.74/581,938.74 = 240,393.42/x
  3. Step 3: Cross multiply
    421,684.74x = 581,938.74 × 240,393.42
  4. Step 4: Simplify right side
    421,684.74x = 139,894,243,939.09
  5. Step 5: Solve for x
    x = 139,894,243,939.09/421,684.74
  6. Step 6: Final answer
    x = 331,750.79

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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.