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Finding the Fourth Proportional to 601,841.96, 830,567.36 and 343,761.36

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Solution

The fourth proportional to 601,841.96, 830,567.36 and 343,761.36 is: 474,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,841.96 : 830,567.36 = 343,761.36 : x
  2. Step 2: Convert to fraction form
    601,841.96/830,567.36 = 343,761.36/x
  3. Step 3: Cross multiply
    601,841.96x = 830,567.36 × 343,761.36
  4. Step 4: Simplify right side
    601,841.96x = 285,516,965,245.21
  5. Step 5: Solve for x
    x = 285,516,965,245.21/601,841.96
  6. Step 6: Final answer
    x = 474,405.22

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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.