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Finding the Fourth Proportional to 381,353.65, 572,033.78 and 97,044.46

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Solution

The fourth proportional to 381,353.65, 572,033.78 and 97,044.46 is: 145,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,353.65 : 572,033.78 = 97,044.46 : x
  2. Step 2: Convert to fraction form
    381,353.65/572,033.78 = 97,044.46/x
  3. Step 3: Cross multiply
    381,353.65x = 572,033.78 × 97,044.46
  4. Step 4: Simplify right side
    381,353.65x = 55,512,709,281.86
  5. Step 5: Solve for x
    x = 55,512,709,281.86/381,353.65
  6. Step 6: Final answer
    x = 145,567.53

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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.