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Finding the Fourth Proportional to 461,735.97, 692,710.65 and 146,192.88

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Solution

The fourth proportional to 461,735.97, 692,710.65 and 146,192.88 is: 219,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,735.97 : 692,710.65 = 146,192.88 : x
  2. Step 2: Convert to fraction form
    461,735.97/692,710.65 = 146,192.88/x
  3. Step 3: Cross multiply
    461,735.97x = 692,710.65 × 146,192.88
  4. Step 4: Simplify right side
    461,735.97x = 101,269,364,930.17
  5. Step 5: Solve for x
    x = 101,269,364,930.17/461,735.97
  6. Step 6: Final answer
    x = 219,323.10

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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.