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Finding the Fourth Proportional to 384,505.98, 576,772.82 and 144,597.89

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Solution

The fourth proportional to 384,505.98, 576,772.82 and 144,597.89 is: 216,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,505.98 : 576,772.82 = 144,597.89 : x
  2. Step 2: Convert to fraction form
    384,505.98/576,772.82 = 144,597.89/x
  3. Step 3: Cross multiply
    384,505.98x = 576,772.82 × 144,597.89
  4. Step 4: Simplify right side
    384,505.98x = 83,400,129,174.50
  5. Step 5: Solve for x
    x = 83,400,129,174.50/384,505.98
  6. Step 6: Final answer
    x = 216,902.03

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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.