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Finding the Fourth Proportional to 402,658.84, 603,988.38 and 118,349.44

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Solution

The fourth proportional to 402,658.84, 603,988.38 and 118,349.44 is: 177,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,658.84 : 603,988.38 = 118,349.44 : x
  2. Step 2: Convert to fraction form
    402,658.84/603,988.38 = 118,349.44/x
  3. Step 3: Cross multiply
    402,658.84x = 603,988.38 × 118,349.44
  4. Step 4: Simplify right side
    402,658.84x = 71,481,686,539.51
  5. Step 5: Solve for x
    x = 71,481,686,539.51/402,658.84
  6. Step 6: Final answer
    x = 177,524.20

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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.