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Finding the Fourth Proportional to 470,796.88, 704,901.30 and 328,784.08

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Solution

The fourth proportional to 470,796.88, 704,901.30 and 328,784.08 is: 492,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,796.88 : 704,901.30 = 328,784.08 : x
  2. Step 2: Convert to fraction form
    470,796.88/704,901.30 = 328,784.08/x
  3. Step 3: Cross multiply
    470,796.88x = 704,901.30 × 328,784.08
  4. Step 4: Simplify right side
    470,796.88x = 231,760,325,411.30
  5. Step 5: Solve for x
    x = 231,760,325,411.30/470,796.88
  6. Step 6: Final answer
    x = 492,272.43

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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.