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Finding the Fourth Proportional to 294,297.38, 406,253.62 and 249,208.74

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Solution

The fourth proportional to 294,297.38, 406,253.62 and 249,208.74 is: 344,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,297.38 : 406,253.62 = 249,208.74 : x
  2. Step 2: Convert to fraction form
    294,297.38/406,253.62 = 249,208.74/x
  3. Step 3: Cross multiply
    294,297.38x = 406,253.62 × 249,208.74
  4. Step 4: Simplify right side
    294,297.38x = 101,241,952,760.64
  5. Step 5: Solve for x
    x = 101,241,952,760.64/294,297.38
  6. Step 6: Final answer
    x = 344,012.42

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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.