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Finding the Fourth Proportional to 610,934.67, 916,524.90 and 211,566.60

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Solution

The fourth proportional to 610,934.67, 916,524.90 and 211,566.60 is: 317,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,934.67 : 916,524.90 = 211,566.60 : x
  2. Step 2: Convert to fraction form
    610,934.67/916,524.90 = 211,566.60/x
  3. Step 3: Cross multiply
    610,934.67x = 916,524.90 × 211,566.60
  4. Step 4: Simplify right side
    610,934.67x = 193,906,056,908.34
  5. Step 5: Solve for x
    x = 193,906,056,908.34/610,934.67
  6. Step 6: Final answer
    x = 317,392.46

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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.