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Finding the Fourth Proportional to 294,608, 406,560.64 and 160,472.32

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Solution

The fourth proportional to 294,608, 406,560.64 and 160,472.32 is: 221,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,608 : 406,560.64 = 160,472.32 : x
  2. Step 2: Convert to fraction form
    294,608/406,560.64 = 160,472.32/x
  3. Step 3: Cross multiply
    294,608x = 406,560.64 × 160,472.32
  4. Step 4: Simplify right side
    294,608x = 65,241,729,121.48
  5. Step 5: Solve for x
    x = 65,241,729,121.48/294,608
  6. Step 6: Final answer
    x = 221,452.67

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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.