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Finding the Fourth Proportional to 502,004.75, 692,771.42 and 275,655.11

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Solution

The fourth proportional to 502,004.75, 692,771.42 and 275,655.11 is: 380,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,004.75 : 692,771.42 = 275,655.11 : x
  2. Step 2: Convert to fraction form
    502,004.75/692,771.42 = 275,655.11/x
  3. Step 3: Cross multiply
    502,004.75x = 692,771.42 × 275,655.11
  4. Step 4: Simplify right side
    502,004.75x = 190,965,980,606.68
  5. Step 5: Solve for x
    x = 190,965,980,606.68/502,004.75
  6. Step 6: Final answer
    x = 380,406.72

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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.