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Finding the Fourth Proportional to 411,688.60, 617,532.90 and 278,632.60

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Solution

The fourth proportional to 411,688.60, 617,532.90 and 278,632.60 is: 417,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,688.60 : 617,532.90 = 278,632.60 : x
  2. Step 2: Convert to fraction form
    411,688.60/617,532.90 = 278,632.60/x
  3. Step 3: Cross multiply
    411,688.60x = 617,532.90 × 278,632.60
  4. Step 4: Simplify right side
    411,688.60x = 172,064,797,512.54
  5. Step 5: Solve for x
    x = 172,064,797,512.54/411,688.60
  6. Step 6: Final answer
    x = 417,948.90

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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.