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Finding the Fourth Proportional to 411,774.30, 617,200.65 and 234,366.30

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Solution

The fourth proportional to 411,774.30, 617,200.65 and 234,366.30 is: 351,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,774.30 : 617,200.65 = 234,366.30 : x
  2. Step 2: Convert to fraction form
    411,774.30/617,200.65 = 234,366.30/x
  3. Step 3: Cross multiply
    411,774.30x = 617,200.65 × 234,366.30
  4. Step 4: Simplify right side
    411,774.30x = 144,651,032,698.10
  5. Step 5: Solve for x
    x = 144,651,032,698.10/411,774.30
  6. Step 6: Final answer
    x = 351,287.18

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1.5x scale

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.