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Finding the Fourth Proportional to 467,096.34, 701,490.15 and 429,589.29

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Solution

The fourth proportional to 467,096.34, 701,490.15 and 429,589.29 is: 645,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,096.34 : 701,490.15 = 429,589.29 : x
  2. Step 2: Convert to fraction form
    467,096.34/701,490.15 = 429,589.29/x
  3. Step 3: Cross multiply
    467,096.34x = 701,490.15 × 429,589.29
  4. Step 4: Simplify right side
    467,096.34x = 301,352,655,480.49
  5. Step 5: Solve for x
    x = 301,352,655,480.49/467,096.34
  6. Step 6: Final answer
    x = 645,161.67

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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.