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Finding the Fourth Proportional to 602,796.84, 831,859.31 and 341,147.40

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Solution

The fourth proportional to 602,796.84, 831,859.31 and 341,147.40 is: 470,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,796.84 : 831,859.31 = 341,147.40 : x
  2. Step 2: Convert to fraction form
    602,796.84/831,859.31 = 341,147.40/x
  3. Step 3: Cross multiply
    602,796.84x = 831,859.31 × 341,147.40
  4. Step 4: Simplify right side
    602,796.84x = 283,786,639,066.56
  5. Step 5: Solve for x
    x = 283,786,639,066.56/602,796.84
  6. Step 6: Final answer
    x = 470,783.22

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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.