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Finding the Fourth Proportional to 294,634.56, 406,595.76 and 160,498.56

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Solution

The fourth proportional to 294,634.56, 406,595.76 and 160,498.56 is: 221,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,634.56 : 406,595.76 = 160,498.56 : x
  2. Step 2: Convert to fraction form
    294,634.56/406,595.76 = 160,498.56/x
  3. Step 3: Cross multiply
    294,634.56x = 406,595.76 × 160,498.56
  4. Step 4: Simplify right side
    294,634.56x = 65,258,033,982.11
  5. Step 5: Solve for x
    x = 65,258,033,982.11/294,634.56
  6. Step 6: Final answer
    x = 221,488.05

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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.