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Finding the Fourth Proportional to 653,527.78, 980,675.37 and 274,419.36

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Solution

The fourth proportional to 653,527.78, 980,675.37 and 274,419.36 is: 411,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,527.78 : 980,675.37 = 274,419.36 : x
  2. Step 2: Convert to fraction form
    653,527.78/980,675.37 = 274,419.36/x
  3. Step 3: Cross multiply
    653,527.78x = 980,675.37 × 274,419.36
  4. Step 4: Simplify right side
    653,527.78x = 269,116,307,403.16
  5. Step 5: Solve for x
    x = 269,116,307,403.16/653,527.78
  6. Step 6: Final answer
    x = 411,790.16

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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.