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Finding the Fourth Proportional to 461,751.42, 693,678.24 and 334,061.68

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Solution

The fourth proportional to 461,751.42, 693,678.24 and 334,061.68 is: 501,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,751.42 : 693,678.24 = 334,061.68 : x
  2. Step 2: Convert to fraction form
    461,751.42/693,678.24 = 334,061.68/x
  3. Step 3: Cross multiply
    461,751.42x = 693,678.24 × 334,061.68
  4. Step 4: Simplify right side
    461,751.42x = 231,731,318,233.84
  5. Step 5: Solve for x
    x = 231,731,318,233.84/461,751.42
  6. Step 6: Final answer
    x = 501,852.96

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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.