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Finding the Fourth Proportional to 519,415.20, 716,798.16 and 304,682.40

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Solution

The fourth proportional to 519,415.20, 716,798.16 and 304,682.40 is: 420,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,415.20 : 716,798.16 = 304,682.40 : x
  2. Step 2: Convert to fraction form
    519,415.20/716,798.16 = 304,682.40/x
  3. Step 3: Cross multiply
    519,415.20x = 716,798.16 × 304,682.40
  4. Step 4: Simplify right side
    519,415.20x = 218,395,783,704.38
  5. Step 5: Solve for x
    x = 218,395,783,704.38/519,415.20
  6. Step 6: Final answer
    x = 420,464.75

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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.