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Finding the Fourth Proportional to 294,636.44, 406,598.35 and 160,500.44

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Solution

The fourth proportional to 294,636.44, 406,598.35 and 160,500.44 is: 221,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,636.44 : 406,598.35 = 160,500.44 : x
  2. Step 2: Convert to fraction form
    294,636.44/406,598.35 = 160,500.44/x
  3. Step 3: Cross multiply
    294,636.44x = 406,598.35 × 160,500.44
  4. Step 4: Simplify right side
    294,636.44x = 65,259,211,644.03
  5. Step 5: Solve for x
    x = 65,259,211,644.03/294,636.44
  6. Step 6: Final answer
    x = 221,490.64

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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.