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Finding the Fourth Proportional to 508,477.60, 762,716.40 and 413,999.20

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Solution

The fourth proportional to 508,477.60, 762,716.40 and 413,999.20 is: 620,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,477.60 : 762,716.40 = 413,999.20 : x
  2. Step 2: Convert to fraction form
    508,477.60/762,716.40 = 413,999.20/x
  3. Step 3: Cross multiply
    508,477.60x = 762,716.40 × 413,999.20
  4. Step 4: Simplify right side
    508,477.60x = 315,763,979,426.88
  5. Step 5: Solve for x
    x = 315,763,979,426.88/508,477.60
  6. Step 6: Final answer
    x = 620,998.80

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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.