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Finding the Fourth Proportional to 461,593.62, 692,429.31 and 146,043.54

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Solution

The fourth proportional to 461,593.62, 692,429.31 and 146,043.54 is: 219,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,593.62 : 692,429.31 = 146,043.54 : x
  2. Step 2: Convert to fraction form
    461,593.62/692,429.31 = 146,043.54/x
  3. Step 3: Cross multiply
    461,593.62x = 692,429.31 × 146,043.54
  4. Step 4: Simplify right side
    461,593.62x = 101,124,827,632.16
  5. Step 5: Solve for x
    x = 101,124,827,632.16/461,593.62
  6. Step 6: Final answer
    x = 219,077.61

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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.