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Finding the Fourth Proportional to 296,084.54, 443,966.86 and 153,576.54

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Solution

The fourth proportional to 296,084.54, 443,966.86 and 153,576.54 is: 230,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,084.54 : 443,966.86 = 153,576.54 : x
  2. Step 2: Convert to fraction form
    296,084.54/443,966.86 = 153,576.54/x
  3. Step 3: Cross multiply
    296,084.54x = 443,966.86 × 153,576.54
  4. Step 4: Simplify right side
    296,084.54x = 68,182,894,233.46
  5. Step 5: Solve for x
    x = 68,182,894,233.46/296,084.54
  6. Step 6: Final answer
    x = 230,281.85

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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.