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Finding the Fourth Proportional to 298,494.90, 411,607.26 and 230,522.94

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Solution

The fourth proportional to 298,494.90, 411,607.26 and 230,522.94 is: 317,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,494.90 : 411,607.26 = 230,522.94 : x
  2. Step 2: Convert to fraction form
    298,494.90/411,607.26 = 230,522.94/x
  3. Step 3: Cross multiply
    298,494.90x = 411,607.26 × 230,522.94
  4. Step 4: Simplify right side
    298,494.90x = 94,884,915,700.54
  5. Step 5: Solve for x
    x = 94,884,915,700.54/298,494.90
  6. Step 6: Final answer
    x = 317,877.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.