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Finding the Fourth Proportional to 405,657.56, 559,784.44 and 224,358.90

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Solution

The fourth proportional to 405,657.56, 559,784.44 and 224,358.90 is: 309,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,657.56 : 559,784.44 = 224,358.90 : x
  2. Step 2: Convert to fraction form
    405,657.56/559,784.44 = 224,358.90/x
  3. Step 3: Cross multiply
    405,657.56x = 559,784.44 × 224,358.90
  4. Step 4: Simplify right side
    405,657.56x = 125,592,621,195.52
  5. Step 5: Solve for x
    x = 125,592,621,195.52/405,657.56
  6. Step 6: Final answer
    x = 309,602.57

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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.