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Finding the Fourth Proportional to 469,927.80, 704,891.70 and 328,210.20

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Solution

The fourth proportional to 469,927.80, 704,891.70 and 328,210.20 is: 492,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,927.80 : 704,891.70 = 328,210.20 : x
  2. Step 2: Convert to fraction form
    469,927.80/704,891.70 = 328,210.20/x
  3. Step 3: Cross multiply
    469,927.80x = 704,891.70 × 328,210.20
  4. Step 4: Simplify right side
    469,927.80x = 231,352,645,835.34
  5. Step 5: Solve for x
    x = 231,352,645,835.34/469,927.80
  6. Step 6: Final answer
    x = 492,315.30

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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.