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Finding the Fourth Proportional to 461,768.40, 692,725.50 and 195,530.58

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Solution

The fourth proportional to 461,768.40, 692,725.50 and 195,530.58 is: 293,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,768.40 : 692,725.50 = 195,530.58 : x
  2. Step 2: Convert to fraction form
    461,768.40/692,725.50 = 195,530.58/x
  3. Step 3: Cross multiply
    461,768.40x = 692,725.50 × 195,530.58
  4. Step 4: Simplify right side
    461,768.40x = 135,449,018,795.79
  5. Step 5: Solve for x
    x = 135,449,018,795.79/461,768.40
  6. Step 6: Final answer
    x = 293,326.74

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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.