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Finding the Fourth Proportional to 345,051.53, 517,798.56 and 167,461.73

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Solution

The fourth proportional to 345,051.53, 517,798.56 and 167,461.73 is: 251,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,051.53 : 517,798.56 = 167,461.73 : x
  2. Step 2: Convert to fraction form
    345,051.53/517,798.56 = 167,461.73/x
  3. Step 3: Cross multiply
    345,051.53x = 517,798.56 × 167,461.73
  4. Step 4: Simplify right side
    345,051.53x = 86,711,440,060.12
  5. Step 5: Solve for x
    x = 86,711,440,060.12/345,051.53
  6. Step 6: Final answer
    x = 251,299.98

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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.