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Finding the Fourth Proportional to 294,635.52, 406,597.12 and 160,499.52

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Solution

The fourth proportional to 294,635.52, 406,597.12 and 160,499.52 is: 221,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,635.52 : 406,597.12 = 160,499.52 : x
  2. Step 2: Convert to fraction form
    294,635.52/406,597.12 = 160,499.52/x
  3. Step 3: Cross multiply
    294,635.52x = 406,597.12 × 160,499.52
  4. Step 4: Simplify right side
    294,635.52x = 65,258,642,593.38
  5. Step 5: Solve for x
    x = 65,258,642,593.38/294,635.52
  6. Step 6: Final answer
    x = 221,489.39

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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.