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Finding the Fourth Proportional to 540,072.20, 809,347.62 and 413,221.34

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Solution

The fourth proportional to 540,072.20, 809,347.62 and 413,221.34 is: 619,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,072.20 : 809,347.62 = 413,221.34 : x
  2. Step 2: Convert to fraction form
    540,072.20/809,347.62 = 413,221.34/x
  3. Step 3: Cross multiply
    540,072.20x = 809,347.62 × 413,221.34
  4. Step 4: Simplify right side
    540,072.20x = 334,439,708,062.21
  5. Step 5: Solve for x
    x = 334,439,708,062.21/540,072.20
  6. Step 6: Final answer
    x = 619,250.00

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