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Finding the Fourth Proportional to 405,657.60, 559,848.24 and 224,383.20

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Solution

The fourth proportional to 405,657.60, 559,848.24 and 224,383.20 is: 309,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,657.60 : 559,848.24 = 224,383.20 : x
  2. Step 2: Convert to fraction form
    405,657.60/559,848.24 = 224,383.20/x
  3. Step 3: Cross multiply
    405,657.60x = 559,848.24 × 224,383.20
  4. Step 4: Simplify right side
    405,657.60x = 125,620,539,605.57
  5. Step 5: Solve for x
    x = 125,620,539,605.57/405,657.60
  6. Step 6: Final answer
    x = 309,671.36

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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.