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Finding the Fourth Proportional to 510,011.46, 703,772.43 and 295,164.84

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Solution

The fourth proportional to 510,011.46, 703,772.43 and 295,164.84 is: 407,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,011.46 : 703,772.43 = 295,164.84 : x
  2. Step 2: Convert to fraction form
    510,011.46/703,772.43 = 295,164.84/x
  3. Step 3: Cross multiply
    510,011.46x = 703,772.43 × 295,164.84
  4. Step 4: Simplify right side
    510,011.46x = 207,728,876,697.36
  5. Step 5: Solve for x
    x = 207,728,876,697.36/510,011.46
  6. Step 6: Final answer
    x = 407,302.37

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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.