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Finding the Fourth Proportional to 466,542.42, 699,924.66 and 150,999.30

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Solution

The fourth proportional to 466,542.42, 699,924.66 and 150,999.30 is: 226,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,542.42 : 699,924.66 = 150,999.30 : x
  2. Step 2: Convert to fraction form
    466,542.42/699,924.66 = 150,999.30/x
  3. Step 3: Cross multiply
    466,542.42x = 699,924.66 × 150,999.30
  4. Step 4: Simplify right side
    466,542.42x = 105,688,133,712.74
  5. Step 5: Solve for x
    x = 105,688,133,712.74/466,542.42
  6. Step 6: Final answer
    x = 226,534.89

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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.