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Finding the Fourth Proportional to 461,381.30, 692,169.15 and 195,004.70

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Solution

The fourth proportional to 461,381.30, 692,169.15 and 195,004.70 is: 292,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,381.30 : 692,169.15 = 195,004.70 : x
  2. Step 2: Convert to fraction form
    461,381.30/692,169.15 = 195,004.70/x
  3. Step 3: Cross multiply
    461,381.30x = 692,169.15 × 195,004.70
  4. Step 4: Simplify right side
    461,381.30x = 134,976,237,445.01
  5. Step 5: Solve for x
    x = 134,976,237,445.01/461,381.30
  6. Step 6: Final answer
    x = 292,548.13

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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.