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Finding the Fourth Proportional to 766,768, 1,058,096.96 and 422,592.64

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Solution

The fourth proportional to 766,768, 1,058,096.96 and 422,592.64 is: 583,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,768 : 1,058,096.96 = 422,592.64 : x
  2. Step 2: Convert to fraction form
    766,768/1,058,096.96 = 422,592.64/x
  3. Step 3: Cross multiply
    766,768x = 1,058,096.96 × 422,592.64
  4. Step 4: Simplify right side
    766,768x = 447,143,987,702.37
  5. Step 5: Solve for x
    x = 447,143,987,702.37/766,768
  6. Step 6: Final answer
    x = 583,154.21

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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.