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Finding the Fourth Proportional to 473,693.40, 710,943.30 and 193,411.80

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Solution

The fourth proportional to 473,693.40, 710,943.30 and 193,411.80 is: 290,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,693.40 : 710,943.30 = 193,411.80 : x
  2. Step 2: Convert to fraction form
    473,693.40/710,943.30 = 193,411.80/x
  3. Step 3: Cross multiply
    473,693.40x = 710,943.30 × 193,411.80
  4. Step 4: Simplify right side
    473,693.40x = 137,504,823,350.94
  5. Step 5: Solve for x
    x = 137,504,823,350.94/473,693.40
  6. Step 6: Final answer
    x = 290,282.33

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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.