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Finding the Fourth Proportional to 411,901.80, 617,852.70 and 323,428.20

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Solution

The fourth proportional to 411,901.80, 617,852.70 and 323,428.20 is: 485,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,901.80 : 617,852.70 = 323,428.20 : x
  2. Step 2: Convert to fraction form
    411,901.80/617,852.70 = 323,428.20/x
  3. Step 3: Cross multiply
    411,901.80x = 617,852.70 × 323,428.20
  4. Step 4: Simplify right side
    411,901.80x = 199,830,986,626.14
  5. Step 5: Solve for x
    x = 199,830,986,626.14/411,901.80
  6. Step 6: Final answer
    x = 485,142.30

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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.