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Finding the Fourth Proportional to 461,738.80, 692,629.80 and 146,220.40

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Solution

The fourth proportional to 461,738.80, 692,629.80 and 146,220.40 is: 219,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,738.80 : 692,629.80 = 146,220.40 : x
  2. Step 2: Convert to fraction form
    461,738.80/692,629.80 = 146,220.40/x
  3. Step 3: Cross multiply
    461,738.80x = 692,629.80 × 146,220.40
  4. Step 4: Simplify right side
    461,738.80x = 101,276,606,407.92
  5. Step 5: Solve for x
    x = 101,276,606,407.92/461,738.80
  6. Step 6: Final answer
    x = 219,337.44

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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.