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Finding the Fourth Proportional to 297,089.46, 410,142.75 and 229,456.50

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Solution

The fourth proportional to 297,089.46, 410,142.75 and 229,456.50 is: 316,773.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,089.46 : 410,142.75 = 229,456.50 : x
  2. Step 2: Convert to fraction form
    297,089.46/410,142.75 = 229,456.50/x
  3. Step 3: Cross multiply
    297,089.46x = 410,142.75 × 229,456.50
  4. Step 4: Simplify right side
    297,089.46x = 94,109,919,915.38
  5. Step 5: Solve for x
    x = 94,109,919,915.38/297,089.46
  6. Step 6: Final answer
    x = 316,773.00

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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.