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Finding the Fourth Proportional to 405,610.74, 559,739.52 and 224,330.28

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Solution

The fourth proportional to 405,610.74, 559,739.52 and 224,330.28 is: 309,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,610.74 : 559,739.52 = 224,330.28 : x
  2. Step 2: Convert to fraction form
    405,610.74/559,739.52 = 224,330.28/x
  3. Step 3: Cross multiply
    405,610.74x = 559,739.52 × 224,330.28
  4. Step 4: Simplify right side
    405,610.74x = 125,566,523,248.67
  5. Step 5: Solve for x
    x = 125,566,523,248.67/405,610.74
  6. Step 6: Final answer
    x = 309,573.96

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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.