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Finding the Fourth Proportional to 539,405.60, 809,302.80 and 224,088.80

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Solution

The fourth proportional to 539,405.60, 809,302.80 and 224,088.80 is: 336,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,405.60 : 809,302.80 = 224,088.80 : x
  2. Step 2: Convert to fraction form
    539,405.60/809,302.80 = 224,088.80/x
  3. Step 3: Cross multiply
    539,405.60x = 809,302.80 × 224,088.80
  4. Step 4: Simplify right side
    539,405.60x = 181,355,693,288.64
  5. Step 5: Solve for x
    x = 181,355,693,288.64/539,405.60
  6. Step 6: Final answer
    x = 336,213.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.