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Finding the Fourth Proportional to 601,643.79, 830,163.19 and 343,402.83

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Solution

The fourth proportional to 601,643.79, 830,163.19 and 343,402.83 is: 473,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,643.79 : 830,163.19 = 343,402.83 : x
  2. Step 2: Convert to fraction form
    601,643.79/830,163.19 = 343,402.83/x
  3. Step 3: Cross multiply
    601,643.79x = 830,163.19 × 343,402.83
  4. Step 4: Simplify right side
    601,643.79x = 285,080,388,807.83
  5. Step 5: Solve for x
    x = 285,080,388,807.83/601,643.79
  6. Step 6: Final answer
    x = 473,835.84

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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.