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Finding the Fourth Proportional to 502,004.50, 692,771.07 and 275,654.86

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Solution

The fourth proportional to 502,004.50, 692,771.07 and 275,654.86 is: 380,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,004.50 : 692,771.07 = 275,654.86 : x
  2. Step 2: Convert to fraction form
    502,004.50/692,771.07 = 275,654.86/x
  3. Step 3: Cross multiply
    502,004.50x = 692,771.07 × 275,654.86
  4. Step 4: Simplify right side
    502,004.50x = 190,965,712,312.90
  5. Step 5: Solve for x
    x = 190,965,712,312.90/502,004.50
  6. Step 6: Final answer
    x = 380,406.38

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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.