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Finding the Fourth Proportional to 510,381.63, 703,967.90 and 335,896.25

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Solution

The fourth proportional to 510,381.63, 703,967.90 and 335,896.25 is: 463,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,381.63 : 703,967.90 = 335,896.25 : x
  2. Step 2: Convert to fraction form
    510,381.63/703,967.90 = 335,896.25/x
  3. Step 3: Cross multiply
    510,381.63x = 703,967.90 × 335,896.25
  4. Step 4: Simplify right side
    510,381.63x = 236,460,172,531.05
  5. Step 5: Solve for x
    x = 236,460,172,531.05/510,381.63
  6. Step 6: Final answer
    x = 463,300.71

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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.