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Finding the Fourth Proportional to 602,720.50, 831,793.18 and 334,448.50

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Solution

The fourth proportional to 602,720.50, 831,793.18 and 334,448.50 is: 461,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,720.50 : 831,793.18 = 334,448.50 : x
  2. Step 2: Convert to fraction form
    602,720.50/831,793.18 = 334,448.50/x
  3. Step 3: Cross multiply
    602,720.50x = 831,793.18 × 334,448.50
  4. Step 4: Simplify right side
    602,720.50x = 278,191,981,361.23
  5. Step 5: Solve for x
    x = 278,191,981,361.23/602,720.50
  6. Step 6: Final answer
    x = 461,560.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.