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Finding the Fourth Proportional to 601,642.79, 830,161.81 and 343,401.83

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Solution

The fourth proportional to 601,642.79, 830,161.81 and 343,401.83 is: 473,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,642.79 : 830,161.81 = 343,401.83 : x
  2. Step 2: Convert to fraction form
    601,642.79/830,161.81 = 343,401.83/x
  3. Step 3: Cross multiply
    601,642.79x = 830,161.81 × 343,401.83
  4. Step 4: Simplify right side
    601,642.79x = 285,079,084,141.66
  5. Step 5: Solve for x
    x = 285,079,084,141.66/601,642.79
  6. Step 6: Final answer
    x = 473,834.46

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