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Finding the Fourth Proportional to 600,058.80, 827,691 and 384,858

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Solution

The fourth proportional to 600,058.80, 827,691 and 384,858 is: 530,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,058.80 : 827,691 = 384,858 : x
  2. Step 2: Convert to fraction form
    600,058.80/827,691 = 384,858/x
  3. Step 3: Cross multiply
    600,058.80x = 827,691 × 384,858
  4. Step 4: Simplify right side
    600,058.80x = 318,543,502,878
  5. Step 5: Solve for x
    x = 318,543,502,878/600,058.80
  6. Step 6: Final answer
    x = 530,853.81

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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.