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Finding the Fourth Proportional to 469,620.79, 647,828.48 and 333,709.67

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Solution

The fourth proportional to 469,620.79, 647,828.48 and 333,709.67 is: 460,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,620.79 : 647,828.48 = 333,709.67 : x
  2. Step 2: Convert to fraction form
    469,620.79/647,828.48 = 333,709.67/x
  3. Step 3: Cross multiply
    469,620.79x = 647,828.48 × 333,709.67
  4. Step 4: Simplify right side
    469,620.79x = 216,186,630,731.25
  5. Step 5: Solve for x
    x = 216,186,630,731.25/469,620.79
  6. Step 6: Final answer
    x = 460,342.98

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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.