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Finding the Fourth Proportional to 411,774.10, 617,661.15 and 384,126.10

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Solution

The fourth proportional to 411,774.10, 617,661.15 and 384,126.10 is: 576,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,774.10 : 617,661.15 = 384,126.10 : x
  2. Step 2: Convert to fraction form
    411,774.10/617,661.15 = 384,126.10/x
  3. Step 3: Cross multiply
    411,774.10x = 617,661.15 × 384,126.10
  4. Step 4: Simplify right side
    411,774.10x = 237,259,768,671.02
  5. Step 5: Solve for x
    x = 237,259,768,671.02/411,774.10
  6. Step 6: Final answer
    x = 576,189.15

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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.