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Finding the Fourth Proportional to 406,281.58, 560,670.15 and 224,989.54

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Solution

The fourth proportional to 406,281.58, 560,670.15 and 224,989.54 is: 310,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,281.58 : 560,670.15 = 224,989.54 : x
  2. Step 2: Convert to fraction form
    406,281.58/560,670.15 = 224,989.54/x
  3. Step 3: Cross multiply
    406,281.58x = 560,670.15 × 224,989.54
  4. Step 4: Simplify right side
    406,281.58x = 126,144,919,140.23
  5. Step 5: Solve for x
    x = 126,144,919,140.23/406,281.58
  6. Step 6: Final answer
    x = 310,486.43

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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.