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Finding the Fourth Proportional to 294,634.49, 406,595.63 and 160,498.49

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Solution

The fourth proportional to 294,634.49, 406,595.63 and 160,498.49 is: 221,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,634.49 : 406,595.63 = 160,498.49 : x
  2. Step 2: Convert to fraction form
    294,634.49/406,595.63 = 160,498.49/x
  3. Step 3: Cross multiply
    294,634.49x = 406,595.63 × 160,498.49
  4. Step 4: Simplify right side
    294,634.49x = 65,257,983,023.87
  5. Step 5: Solve for x
    x = 65,257,983,023.87/294,634.49
  6. Step 6: Final answer
    x = 221,487.93

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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.