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Finding the Fourth Proportional to 294,726.69, 406,722.81 and 160,590.69

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Solution

The fourth proportional to 294,726.69, 406,722.81 and 160,590.69 is: 221,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,726.69 : 406,722.81 = 160,590.69 : x
  2. Step 2: Convert to fraction form
    294,726.69/406,722.81 = 160,590.69/x
  3. Step 3: Cross multiply
    294,726.69x = 406,722.81 × 160,590.69
  4. Step 4: Simplify right side
    294,726.69x = 65,315,896,696.64
  5. Step 5: Solve for x
    x = 65,315,896,696.64/294,726.69
  6. Step 6: Final answer
    x = 221,615.14

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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.