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Finding the Fourth Proportional to 413,254.50, 570,245.58 and 231,924.84

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Solution

The fourth proportional to 413,254.50, 570,245.58 and 231,924.84 is: 320,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,254.50 : 570,245.58 = 231,924.84 : x
  2. Step 2: Convert to fraction form
    413,254.50/570,245.58 = 231,924.84/x
  3. Step 3: Cross multiply
    413,254.50x = 570,245.58 × 231,924.84
  4. Step 4: Simplify right side
    413,254.50x = 132,254,114,902.21
  5. Step 5: Solve for x
    x = 132,254,114,902.21/413,254.50
  6. Step 6: Final answer
    x = 320,030.67

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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.