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Finding the Fourth Proportional to 411,346.20, 616,727.70 and 186,814.20

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Solution

The fourth proportional to 411,346.20, 616,727.70 and 186,814.20 is: 280,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,346.20 : 616,727.70 = 186,814.20 : x
  2. Step 2: Convert to fraction form
    411,346.20/616,727.70 = 186,814.20/x
  3. Step 3: Cross multiply
    411,346.20x = 616,727.70 × 186,814.20
  4. Step 4: Simplify right side
    411,346.20x = 115,213,491,893.34
  5. Step 5: Solve for x
    x = 115,213,491,893.34/411,346.20
  6. Step 6: Final answer
    x = 280,088.87

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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.