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Finding the Fourth Proportional to 405,176.68, 559,141.68 and 223,901.20

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Solution

The fourth proportional to 405,176.68, 559,141.68 and 223,901.20 is: 308,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,176.68 : 559,141.68 = 223,901.20 : x
  2. Step 2: Convert to fraction form
    405,176.68/559,141.68 = 223,901.20/x
  3. Step 3: Cross multiply
    405,176.68x = 559,141.68 × 223,901.20
  4. Step 4: Simplify right side
    405,176.68x = 125,192,493,122.02
  5. Step 5: Solve for x
    x = 125,192,493,122.02/405,176.68
  6. Step 6: Final answer
    x = 308,982.47

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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.