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Finding the Fourth Proportional to 353,269.80, 529,127.10 and 313,871.40

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Solution

The fourth proportional to 353,269.80, 529,127.10 and 313,871.40 is: 470,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,269.80 : 529,127.10 = 313,871.40 : x
  2. Step 2: Convert to fraction form
    353,269.80/529,127.10 = 313,871.40/x
  3. Step 3: Cross multiply
    353,269.80x = 529,127.10 × 313,871.40
  4. Step 4: Simplify right side
    353,269.80x = 166,077,863,654.94
  5. Step 5: Solve for x
    x = 166,077,863,654.94/353,269.80
  6. Step 6: Final answer
    x = 470,116.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.