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Finding the Fourth Proportional to 460,665, 691,093.08 and 194,427.72

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Solution

The fourth proportional to 460,665, 691,093.08 and 194,427.72 is: 291,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,665 : 691,093.08 = 194,427.72 : x
  2. Step 2: Convert to fraction form
    460,665/691,093.08 = 194,427.72/x
  3. Step 3: Cross multiply
    460,665x = 691,093.08 × 194,427.72
  4. Step 4: Simplify right side
    460,665x = 134,367,651,852.18
  5. Step 5: Solve for x
    x = 134,367,651,852.18/460,665
  6. Step 6: Final answer
    x = 291,681.92

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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.