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Finding the Fourth Proportional to 398,515.01, 597,780.71 and 161,695.71

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Solution

The fourth proportional to 398,515.01, 597,780.71 and 161,695.71 is: 242,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,515.01 : 597,780.71 = 161,695.71 : x
  2. Step 2: Convert to fraction form
    398,515.01/597,780.71 = 161,695.71/x
  3. Step 3: Cross multiply
    398,515.01x = 597,780.71 × 161,695.71
  4. Step 4: Simplify right side
    398,515.01x = 96,658,576,125.63
  5. Step 5: Solve for x
    x = 96,658,576,125.63/398,515.01
  6. Step 6: Final answer
    x = 242,546.89

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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.