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Finding the Fourth Proportional to 294,635.49, 406,597.01 and 160,499.49

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Solution

The fourth proportional to 294,635.49, 406,597.01 and 160,499.49 is: 221,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,635.49 : 406,597.01 = 160,499.49 : x
  2. Step 2: Convert to fraction form
    294,635.49/406,597.01 = 160,499.49/x
  3. Step 3: Cross multiply
    294,635.49x = 406,597.01 × 160,499.49
  4. Step 4: Simplify right side
    294,635.49x = 65,258,612,740.52
  5. Step 5: Solve for x
    x = 65,258,612,740.52/294,635.49
  6. Step 6: Final answer
    x = 221,489.31

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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.