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Finding the Fourth Proportional to 473,634.84, 709,380.36 and 332,107.86

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Solution

The fourth proportional to 473,634.84, 709,380.36 and 332,107.86 is: 497,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,634.84 : 709,380.36 = 332,107.86 : x
  2. Step 2: Convert to fraction form
    473,634.84/709,380.36 = 332,107.86/x
  3. Step 3: Cross multiply
    473,634.84x = 709,380.36 × 332,107.86
  4. Step 4: Simplify right side
    473,634.84x = 235,590,793,285.63
  5. Step 5: Solve for x
    x = 235,590,793,285.63/473,634.84
  6. Step 6: Final answer
    x = 497,410.18

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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.