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Finding the Fourth Proportional to 411,681.60, 617,911.20 and 254,217.60

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Solution

The fourth proportional to 411,681.60, 617,911.20 and 254,217.60 is: 381,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,681.60 : 617,911.20 = 254,217.60 : x
  2. Step 2: Convert to fraction form
    411,681.60/617,911.20 = 254,217.60/x
  3. Step 3: Cross multiply
    411,681.60x = 617,911.20 × 254,217.60
  4. Step 4: Simplify right side
    411,681.60x = 157,083,902,277.12
  5. Step 5: Solve for x
    x = 157,083,902,277.12/411,681.60
  6. Step 6: Final answer
    x = 381,566.49

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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.