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Finding the Fourth Proportional to 461,498.12, 692,320.37 and 195,260.63

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Solution

The fourth proportional to 461,498.12, 692,320.37 and 195,260.63 is: 292,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,498.12 : 692,320.37 = 195,260.63 : x
  2. Step 2: Convert to fraction form
    461,498.12/692,320.37 = 195,260.63/x
  3. Step 3: Cross multiply
    461,498.12x = 692,320.37 × 195,260.63
  4. Step 4: Simplify right side
    461,498.12x = 135,182,907,170.13
  5. Step 5: Solve for x
    x = 135,182,907,170.13/461,498.12
  6. Step 6: Final answer
    x = 292,921.91

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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.