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Finding the Fourth Proportional to 411,909.20, 617,086.20 and 211,547.60

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Solution

The fourth proportional to 411,909.20, 617,086.20 and 211,547.60 is: 316,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,909.20 : 617,086.20 = 211,547.60 : x
  2. Step 2: Convert to fraction form
    411,909.20/617,086.20 = 211,547.60/x
  3. Step 3: Cross multiply
    411,909.20x = 617,086.20 × 211,547.60
  4. Step 4: Simplify right side
    411,909.20x = 130,543,104,603.12
  5. Step 5: Solve for x
    x = 130,543,104,603.12/411,909.20
  6. Step 6: Final answer
    x = 316,922.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.