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Finding the Fourth Proportional to 462,092.66, 693,102.53 and 146,552.30

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Solution

The fourth proportional to 462,092.66, 693,102.53 and 146,552.30 is: 219,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,092.66 : 693,102.53 = 146,552.30 : x
  2. Step 2: Convert to fraction form
    462,092.66/693,102.53 = 146,552.30/x
  3. Step 3: Cross multiply
    462,092.66x = 693,102.53 × 146,552.30
  4. Step 4: Simplify right side
    462,092.66x = 101,575,769,407.32
  5. Step 5: Solve for x
    x = 101,575,769,407.32/462,092.66
  6. Step 6: Final answer
    x = 219,816.89

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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.