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Finding the Fourth Proportional to 405,635.50, 559,755.01 and 224,336.84

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Solution

The fourth proportional to 405,635.50, 559,755.01 and 224,336.84 is: 309,572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,635.50 : 559,755.01 = 224,336.84 : x
  2. Step 2: Convert to fraction form
    405,635.50/559,755.01 = 224,336.84/x
  3. Step 3: Cross multiply
    405,635.50x = 559,755.01 × 224,336.84
  4. Step 4: Simplify right side
    405,635.50x = 125,573,671,797.38
  5. Step 5: Solve for x
    x = 125,573,671,797.38/405,635.50
  6. Step 6: Final answer
    x = 309,572.69

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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.