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Finding the Fourth Proportional to 588,294.48, 882,266.40 and 214,230

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Solution

The fourth proportional to 588,294.48, 882,266.40 and 214,230 is: 321,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,294.48 : 882,266.40 = 214,230 : x
  2. Step 2: Convert to fraction form
    588,294.48/882,266.40 = 214,230/x
  3. Step 3: Cross multiply
    588,294.48x = 882,266.40 × 214,230
  4. Step 4: Simplify right side
    588,294.48x = 189,007,930,872
  5. Step 5: Solve for x
    x = 189,007,930,872/588,294.48
  6. Step 6: Final answer
    x = 321,281.16

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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.