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Finding the Fourth Proportional to 510,074.01, 703,995.30 and 295,234.07

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Solution

The fourth proportional to 510,074.01, 703,995.30 and 295,234.07 is: 407,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,074.01 : 703,995.30 = 295,234.07 : x
  2. Step 2: Convert to fraction form
    510,074.01/703,995.30 = 295,234.07/x
  3. Step 3: Cross multiply
    510,074.01x = 703,995.30 × 295,234.07
  4. Step 4: Simplify right side
    510,074.01x = 207,843,394,159.90
  5. Step 5: Solve for x
    x = 207,843,394,159.90/510,074.01
  6. Step 6: Final answer
    x = 407,476.93

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Why These Related Problems?

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