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Finding the Fourth Proportional to 406,058.37, 560,353.76 and 224,766.42

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Solution

The fourth proportional to 406,058.37, 560,353.76 and 224,766.42 is: 310,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,058.37 : 560,353.76 = 224,766.42 : x
  2. Step 2: Convert to fraction form
    406,058.37/560,353.76 = 224,766.42/x
  3. Step 3: Cross multiply
    406,058.37x = 560,353.76 × 224,766.42
  4. Step 4: Simplify right side
    406,058.37x = 125,948,706,186.46
  5. Step 5: Solve for x
    x = 125,948,706,186.46/406,058.37
  6. Step 6: Final answer
    x = 310,173.90

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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.