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Finding the Fourth Proportional to 294,590.16, 406,405.08 and 199,062

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Solution

The fourth proportional to 294,590.16, 406,405.08 and 199,062 is: 274,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,590.16 : 406,405.08 = 199,062 : x
  2. Step 2: Convert to fraction form
    294,590.16/406,405.08 = 199,062/x
  3. Step 3: Cross multiply
    294,590.16x = 406,405.08 × 199,062
  4. Step 4: Simplify right side
    294,590.16x = 80,899,808,034.96
  5. Step 5: Solve for x
    x = 80,899,808,034.96/294,590.16
  6. Step 6: Final answer
    x = 274,618.16

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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.