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Finding the Fourth Proportional to 539,742.40, 809,710.80 and 224,231.20

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Solution

The fourth proportional to 539,742.40, 809,710.80 and 224,231.20 is: 336,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,742.40 : 809,710.80 = 224,231.20 : x
  2. Step 2: Convert to fraction form
    539,742.40/809,710.80 = 224,231.20/x
  3. Step 3: Cross multiply
    539,742.40x = 809,710.80 × 224,231.20
  4. Step 4: Simplify right side
    539,742.40x = 181,562,424,336.96
  5. Step 5: Solve for x
    x = 181,562,424,336.96/539,742.40
  6. Step 6: Final answer
    x = 336,387.18

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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.