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Finding the Fourth Proportional to 294,920.52, 406,990.08 and 160,784.52

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Solution

The fourth proportional to 294,920.52, 406,990.08 and 160,784.52 is: 221,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,920.52 : 406,990.08 = 160,784.52 : x
  2. Step 2: Convert to fraction form
    294,920.52/406,990.08 = 160,784.52/x
  3. Step 3: Cross multiply
    294,920.52x = 406,990.08 × 160,784.52
  4. Step 4: Simplify right side
    294,920.52x = 65,437,704,657.56
  5. Step 5: Solve for x
    x = 65,437,704,657.56/294,920.52
  6. Step 6: Final answer
    x = 221,882.51

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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.