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Finding the Fourth Proportional to 466,256.60, 699,384.92 and 308,448.16

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Solution

The fourth proportional to 466,256.60, 699,384.92 and 308,448.16 is: 462,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,256.60 : 699,384.92 = 308,448.16 : x
  2. Step 2: Convert to fraction form
    466,256.60/699,384.92 = 308,448.16/x
  3. Step 3: Cross multiply
    466,256.60x = 699,384.92 × 308,448.16
  4. Step 4: Simplify right side
    466,256.60x = 215,723,991,705.75
  5. Step 5: Solve for x
    x = 215,723,991,705.75/466,256.60
  6. Step 6: Final answer
    x = 462,672.25

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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.