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Finding the Fourth Proportional to 347,813.80, 520,554.30 and 305,823.40

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Solution

The fourth proportional to 347,813.80, 520,554.30 and 305,823.40 is: 457,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,813.80 : 520,554.30 = 305,823.40 : x
  2. Step 2: Convert to fraction form
    347,813.80/520,554.30 = 305,823.40/x
  3. Step 3: Cross multiply
    347,813.80x = 520,554.30 × 305,823.40
  4. Step 4: Simplify right side
    347,813.80x = 159,197,685,910.62
  5. Step 5: Solve for x
    x = 159,197,685,910.62/347,813.80
  6. Step 6: Final answer
    x = 457,709.52

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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.