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Finding the Fourth Proportional to 460,796.72, 635,822.52 and 256,803.12

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Solution

The fourth proportional to 460,796.72, 635,822.52 and 256,803.12 is: 354,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,796.72 : 635,822.52 = 256,803.12 : x
  2. Step 2: Convert to fraction form
    460,796.72/635,822.52 = 256,803.12/x
  3. Step 3: Cross multiply
    460,796.72x = 635,822.52 × 256,803.12
  4. Step 4: Simplify right side
    460,796.72x = 163,281,206,902.26
  5. Step 5: Solve for x
    x = 163,281,206,902.26/460,796.72
  6. Step 6: Final answer
    x = 354,345.42

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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.