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Finding the Fourth Proportional to 964,174, 1,330,420.44 and 534,454

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Solution

The fourth proportional to 964,174, 1,330,420.44 and 534,454 is: 737,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,174 : 1,330,420.44 = 534,454 : x
  2. Step 2: Convert to fraction form
    964,174/1,330,420.44 = 534,454/x
  3. Step 3: Cross multiply
    964,174x = 1,330,420.44 × 534,454
  4. Step 4: Simplify right side
    964,174x = 711,048,525,839.76
  5. Step 5: Solve for x
    x = 711,048,525,839.76/964,174
  6. Step 6: Final answer
    x = 737,469.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.