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Finding the Fourth Proportional to 461,900.80, 692,721.60 and 146,454.40

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Solution

The fourth proportional to 461,900.80, 692,721.60 and 146,454.40 is: 219,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,900.80 : 692,721.60 = 146,454.40 : x
  2. Step 2: Convert to fraction form
    461,900.80/692,721.60 = 146,454.40/x
  3. Step 3: Cross multiply
    461,900.80x = 692,721.60 × 146,454.40
  4. Step 4: Simplify right side
    461,900.80x = 101,452,126,295.04
  5. Step 5: Solve for x
    x = 101,452,126,295.04/461,900.80
  6. Step 6: Final answer
    x = 219,640.51

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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.