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Finding the Fourth Proportional to 405,437.81, 559,500.21 and 224,154.14

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Solution

The fourth proportional to 405,437.81, 559,500.21 and 224,154.14 is: 309,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,437.81 : 559,500.21 = 224,154.14 : x
  2. Step 2: Convert to fraction form
    405,437.81/559,500.21 = 224,154.14/x
  3. Step 3: Cross multiply
    405,437.81x = 559,500.21 × 224,154.14
  4. Step 4: Simplify right side
    405,437.81x = 125,414,285,604.87
  5. Step 5: Solve for x
    x = 125,414,285,604.87/405,437.81
  6. Step 6: Final answer
    x = 309,330.52

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1.5x scale

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.