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Finding the Fourth Proportional to 473,299.80, 710,295.30 and 333,331.80

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Solution

The fourth proportional to 473,299.80, 710,295.30 and 333,331.80 is: 500,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,299.80 : 710,295.30 = 333,331.80 : x
  2. Step 2: Convert to fraction form
    473,299.80/710,295.30 = 333,331.80/x
  3. Step 3: Cross multiply
    473,299.80x = 710,295.30 × 333,331.80
  4. Step 4: Simplify right side
    473,299.80x = 236,764,010,880.54
  5. Step 5: Solve for x
    x = 236,764,010,880.54/473,299.80
  6. Step 6: Final answer
    x = 500,241.10

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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.