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Finding the Fourth Proportional to 509,722.80, 763,709.40 and 332,138.40

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Solution

The fourth proportional to 509,722.80, 763,709.40 and 332,138.40 is: 497,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,722.80 : 763,709.40 = 332,138.40 : x
  2. Step 2: Convert to fraction form
    509,722.80/763,709.40 = 332,138.40/x
  3. Step 3: Cross multiply
    509,722.80x = 763,709.40 × 332,138.40
  4. Step 4: Simplify right side
    509,722.80x = 253,657,218,180.96
  5. Step 5: Solve for x
    x = 253,657,218,180.96/509,722.80
  6. Step 6: Final answer
    x = 497,637.58

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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.