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Finding the Fourth Proportional to 294,720, 406,713.66 and 160,584

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Solution

The fourth proportional to 294,720, 406,713.66 and 160,584 is: 221,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,720 : 406,713.66 = 160,584 : x
  2. Step 2: Convert to fraction form
    294,720/406,713.66 = 160,584/x
  3. Step 3: Cross multiply
    294,720x = 406,713.66 × 160,584
  4. Step 4: Simplify right side
    294,720x = 65,311,706,377.44
  5. Step 5: Solve for x
    x = 65,311,706,377.44/294,720
  6. Step 6: Final answer
    x = 221,605.95

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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.