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Finding the Fourth Proportional to 406,090.00, 560,408.63 and 224,804.95

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Solution

The fourth proportional to 406,090.00, 560,408.63 and 224,804.95 is: 310,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,090.00 : 560,408.63 = 224,804.95 : x
  2. Step 2: Convert to fraction form
    406,090.00/560,408.63 = 224,804.95/x
  3. Step 3: Cross multiply
    406,090.00x = 560,408.63 × 224,804.95
  4. Step 4: Simplify right side
    406,090.00x = 125,982,633,097.82
  5. Step 5: Solve for x
    x = 125,982,633,097.82/406,090.00
  6. Step 6: Final answer
    x = 310,233.28

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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.