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Finding the Fourth Proportional to 460,768.79, 635,783.90 and 256,775.01

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Solution

The fourth proportional to 460,768.79, 635,783.90 and 256,775.01 is: 354,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,768.79 : 635,783.90 = 256,775.01 : x
  2. Step 2: Convert to fraction form
    460,768.79/635,783.90 = 256,775.01/x
  3. Step 3: Cross multiply
    460,768.79x = 635,783.90 × 256,775.01
  4. Step 4: Simplify right side
    460,768.79x = 163,253,415,996.46
  5. Step 5: Solve for x
    x = 163,253,415,996.46/460,768.79
  6. Step 6: Final answer
    x = 354,306.59

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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.