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Finding the Fourth Proportional to 405,546.60, 559,657.93 and 224,270.72

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Solution

The fourth proportional to 405,546.60, 559,657.93 and 224,270.72 is: 309,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,546.60 : 559,657.93 = 224,270.72 : x
  2. Step 2: Convert to fraction form
    405,546.60/559,657.93 = 224,270.72/x
  3. Step 3: Cross multiply
    405,546.60x = 559,657.93 × 224,270.72
  4. Step 4: Simplify right side
    405,546.60x = 125,514,889,853.91
  5. Step 5: Solve for x
    x = 125,514,889,853.91/405,546.60
  6. Step 6: Final answer
    x = 309,495.61

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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.