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Finding the Fourth Proportional to 411,965.70, 617,948.55 and 404,967.30

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Solution

The fourth proportional to 411,965.70, 617,948.55 and 404,967.30 is: 607,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,965.70 : 617,948.55 = 404,967.30 : x
  2. Step 2: Convert to fraction form
    411,965.70/617,948.55 = 404,967.30/x
  3. Step 3: Cross multiply
    411,965.70x = 617,948.55 × 404,967.30
  4. Step 4: Simplify right side
    411,965.70x = 250,248,955,832.42
  5. Step 5: Solve for x
    x = 250,248,955,832.42/411,965.70
  6. Step 6: Final answer
    x = 607,450.95

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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.