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Finding the Fourth Proportional to 405,470.60, 559,526.82 and 224,171.96

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Solution

The fourth proportional to 405,470.60, 559,526.82 and 224,171.96 is: 309,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,470.60 : 559,526.82 = 224,171.96 : x
  2. Step 2: Convert to fraction form
    405,470.60/559,526.82 = 224,171.96/x
  3. Step 3: Cross multiply
    405,470.60x = 559,526.82 × 224,171.96
  4. Step 4: Simplify right side
    405,470.60x = 125,430,223,911.97
  5. Step 5: Solve for x
    x = 125,430,223,911.97/405,470.60
  6. Step 6: Final answer
    x = 309,344.81

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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.