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Finding the Fourth Proportional to 294,296.38, 406,252.24 and 249,207.74

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Solution

The fourth proportional to 294,296.38, 406,252.24 and 249,207.74 is: 344,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,296.38 : 406,252.24 = 249,207.74 : x
  2. Step 2: Convert to fraction form
    294,296.38/406,252.24 = 249,207.74/x
  3. Step 3: Cross multiply
    294,296.38x = 406,252.24 × 249,207.74
  4. Step 4: Simplify right side
    294,296.38x = 101,241,202,600.34
  5. Step 5: Solve for x
    x = 101,241,202,600.34/294,296.38
  6. Step 6: Final answer
    x = 344,011.04

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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.