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Finding the Fourth Proportional to 287,941.80, 431,912.70 and 193,463.40

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Solution

The fourth proportional to 287,941.80, 431,912.70 and 193,463.40 is: 290,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,941.80 : 431,912.70 = 193,463.40 : x
  2. Step 2: Convert to fraction form
    287,941.80/431,912.70 = 193,463.40/x
  3. Step 3: Cross multiply
    287,941.80x = 431,912.70 × 193,463.40
  4. Step 4: Simplify right side
    287,941.80x = 83,559,299,445.18
  5. Step 5: Solve for x
    x = 83,559,299,445.18/287,941.80
  6. Step 6: Final answer
    x = 290,195.10

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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.