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Finding the Fourth Proportional to 460,720.43, 635,797.35 and 256,784.49

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Solution

The fourth proportional to 460,720.43, 635,797.35 and 256,784.49 is: 354,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,720.43 : 635,797.35 = 256,784.49 : x
  2. Step 2: Convert to fraction form
    460,720.43/635,797.35 = 256,784.49/x
  3. Step 3: Cross multiply
    460,720.43x = 635,797.35 × 256,784.49
  4. Step 4: Simplify right side
    460,720.43x = 163,262,901,134.59
  5. Step 5: Solve for x
    x = 163,262,901,134.59/460,720.43
  6. Step 6: Final answer
    x = 354,364.36

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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.