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Finding the Fourth Proportional to 473,905.62, 710,902.98 and 174,391.92

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Solution

The fourth proportional to 473,905.62, 710,902.98 and 174,391.92 is: 261,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,905.62 : 710,902.98 = 174,391.92 : x
  2. Step 2: Convert to fraction form
    473,905.62/710,902.98 = 174,391.92/x
  3. Step 3: Cross multiply
    473,905.62x = 710,902.98 × 174,391.92
  4. Step 4: Simplify right side
    473,905.62x = 123,975,735,615.92
  5. Step 5: Solve for x
    x = 123,975,735,615.92/473,905.62
  6. Step 6: Final answer
    x = 261,604.27

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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.