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Finding the Fourth Proportional to 473,911.38, 710,962.36 and 174,393.54

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Solution

The fourth proportional to 473,911.38, 710,962.36 and 174,393.54 is: 261,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,911.38 : 710,962.36 = 174,393.54 : x
  2. Step 2: Convert to fraction form
    473,911.38/710,962.36 = 174,393.54/x
  3. Step 3: Cross multiply
    473,911.38x = 710,962.36 × 174,393.54
  4. Step 4: Simplify right side
    473,911.38x = 123,987,242,331.17
  5. Step 5: Solve for x
    x = 123,987,242,331.17/473,911.38
  6. Step 6: Final answer
    x = 261,625.37

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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.