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Finding the Fourth Proportional to 294,881, 406,795.62 and 199,421.16

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Solution

The fourth proportional to 294,881, 406,795.62 and 199,421.16 is: 275,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,881 : 406,795.62 = 199,421.16 : x
  2. Step 2: Convert to fraction form
    294,881/406,795.62 = 199,421.16/x
  3. Step 3: Cross multiply
    294,881x = 406,795.62 × 199,421.16
  4. Step 4: Simplify right side
    294,881x = 81,123,654,423.32
  5. Step 5: Solve for x
    x = 81,123,654,423.32/294,881
  6. Step 6: Final answer
    x = 275,106.41

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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.