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Finding the Fourth Proportional to 405,370.98, 559,403.70 and 224,090.55

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Solution

The fourth proportional to 405,370.98, 559,403.70 and 224,090.55 is: 309,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,370.98 : 559,403.70 = 224,090.55 : x
  2. Step 2: Convert to fraction form
    405,370.98/559,403.70 = 224,090.55/x
  3. Step 3: Cross multiply
    405,370.98x = 559,403.70 × 224,090.55
  4. Step 4: Simplify right side
    405,370.98x = 125,357,080,008.02
  5. Step 5: Solve for x
    x = 125,357,080,008.02/405,370.98
  6. Step 6: Final answer
    x = 309,240.39

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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.