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Finding the Fourth Proportional to 361,971.10, 542,956.65 and 249,996.70

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Solution

The fourth proportional to 361,971.10, 542,956.65 and 249,996.70 is: 374,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,971.10 : 542,956.65 = 249,996.70 : x
  2. Step 2: Convert to fraction form
    361,971.10/542,956.65 = 249,996.70/x
  3. Step 3: Cross multiply
    361,971.10x = 542,956.65 × 249,996.70
  4. Step 4: Simplify right side
    361,971.10x = 135,737,370,743.06
  5. Step 5: Solve for x
    x = 135,737,370,743.06/361,971.10
  6. Step 6: Final answer
    x = 374,995.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.