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Finding the Fourth Proportional to 264,716.76, 365,309.12 and 145,484.76

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Solution

The fourth proportional to 264,716.76, 365,309.12 and 145,484.76 is: 200,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,716.76 : 365,309.12 = 145,484.76 : x
  2. Step 2: Convert to fraction form
    264,716.76/365,309.12 = 145,484.76/x
  3. Step 3: Cross multiply
    264,716.76x = 365,309.12 × 145,484.76
  4. Step 4: Simplify right side
    264,716.76x = 53,146,909,649.01
  5. Step 5: Solve for x
    x = 53,146,909,649.01/264,716.76
  6. Step 6: Final answer
    x = 200,768.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.