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Finding the Fourth Proportional to 469,901.80, 704,852.70 and 328,184.20

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Solution

The fourth proportional to 469,901.80, 704,852.70 and 328,184.20 is: 492,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,901.80 : 704,852.70 = 328,184.20 : x
  2. Step 2: Convert to fraction form
    469,901.80/704,852.70 = 328,184.20/x
  3. Step 3: Cross multiply
    469,901.80x = 704,852.70 × 328,184.20
  4. Step 4: Simplify right side
    469,901.80x = 231,321,519,467.34
  5. Step 5: Solve for x
    x = 231,321,519,467.34/469,901.80
  6. Step 6: Final answer
    x = 492,276.30

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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.