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Finding the Fourth Proportional to 295,047.81, 406,774.04 and 192,897.65

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Solution

The fourth proportional to 295,047.81, 406,774.04 and 192,897.65 is: 265,942.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,047.81 : 406,774.04 = 192,897.65 : x
  2. Step 2: Convert to fraction form
    295,047.81/406,774.04 = 192,897.65/x
  3. Step 3: Cross multiply
    295,047.81x = 406,774.04 × 192,897.65
  4. Step 4: Simplify right side
    295,047.81x = 78,465,756,449.45
  5. Step 5: Solve for x
    x = 78,465,756,449.45/295,047.81
  6. Step 6: Final answer
    x = 265,942.51

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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.