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Finding the Fourth Proportional to 406,058.54, 560,420.82 and 233,943.72

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Solution

The fourth proportional to 406,058.54, 560,420.82 and 233,943.72 is: 322,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,058.54 : 560,420.82 = 233,943.72 : x
  2. Step 2: Convert to fraction form
    406,058.54/560,420.82 = 233,943.72/x
  3. Step 3: Cross multiply
    406,058.54x = 560,420.82 × 233,943.72
  4. Step 4: Simplify right side
    406,058.54x = 131,106,931,396.25
  5. Step 5: Solve for x
    x = 131,106,931,396.25/406,058.54
  6. Step 6: Final answer
    x = 322,876.93

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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.