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Finding the Fourth Proportional to 540,079.58, 809,358.77 and 413,228.72

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Solution

The fourth proportional to 540,079.58, 809,358.77 and 413,228.72 is: 619,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,079.58 : 809,358.77 = 413,228.72 : x
  2. Step 2: Convert to fraction form
    540,079.58/809,358.77 = 413,228.72/x
  3. Step 3: Cross multiply
    540,079.58x = 809,358.77 × 413,228.72
  4. Step 4: Simplify right side
    540,079.58x = 334,450,282,434.94
  5. Step 5: Solve for x
    x = 334,450,282,434.94/540,079.58
  6. Step 6: Final answer
    x = 619,261.12

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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.