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Finding the Fourth Proportional to 294,706.36, 406,694.82 and 160,570.36

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Solution

The fourth proportional to 294,706.36, 406,694.82 and 160,570.36 is: 221,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,706.36 : 406,694.82 = 160,570.36 : x
  2. Step 2: Convert to fraction form
    294,706.36/406,694.82 = 160,570.36/x
  3. Step 3: Cross multiply
    294,706.36x = 406,694.82 × 160,570.36
  4. Step 4: Simplify right side
    294,706.36x = 65,303,133,657.54
  5. Step 5: Solve for x
    x = 65,303,133,657.54/294,706.36
  6. Step 6: Final answer
    x = 221,587.12

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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.