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Finding the Fourth Proportional to 405,295.81, 559,337.18 and 224,003.84

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Solution

The fourth proportional to 405,295.81, 559,337.18 and 224,003.84 is: 309,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,295.81 : 559,337.18 = 224,003.84 : x
  2. Step 2: Convert to fraction form
    405,295.81/559,337.18 = 224,003.84/x
  3. Step 3: Cross multiply
    405,295.81x = 559,337.18 × 224,003.84
  4. Step 4: Simplify right side
    405,295.81x = 125,293,676,174.77
  5. Step 5: Solve for x
    x = 125,293,676,174.77/405,295.81
  6. Step 6: Final answer
    x = 309,141.31

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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.