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Finding the Fourth Proportional to 322,271.30, 482,830.95 and 155,692.10

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Solution

The fourth proportional to 322,271.30, 482,830.95 and 155,692.10 is: 233,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,271.30 : 482,830.95 = 155,692.10 : x
  2. Step 2: Convert to fraction form
    322,271.30/482,830.95 = 155,692.10/x
  3. Step 3: Cross multiply
    322,271.30x = 482,830.95 × 155,692.10
  4. Step 4: Simplify right side
    322,271.30x = 75,172,964,550.50
  5. Step 5: Solve for x
    x = 75,172,964,550.50/322,271.30
  6. Step 6: Final answer
    x = 233,259.88

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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.